Forces - Shed Loads of Practice Questions

topic selection

Calculating Weight

To calculate weight, use the formula: Weight (W) = Mass (m) × Acceleration due to gravity (g).

Ensure that the units are consistent when performing the calculations. Weight is typically measured in newtons (N) or sometimes in pounds (lb) on Earth.

Note: The acceleration due to gravity is approximately 9.8 m/s² on Earth.

Question 1:

What is the weight of a 50 kg object on Earth?

Question 2:

What is the weight of a 25 kg object on Earth?

Question 3:

What is the weight of a 75 kg object on Earth?

Question 4:

What is the weight of a 100 kg object on Earth?

Question 5:

What is the weight of a 30 kg object on Earth?

Question 6:

What is the weight of a 60 kg object on Earth?

Question 7:

What is the weight of a 20 kg object on Earth?

Question 8:

What is the weight of a 45 kg object on Earth?

Question 9:

What is the weight of a 80 kg object on Earth?

Question 10:

What is the weight of a 55 kg object on Earth?

Question 11:

What is the weight of a 90 kg object on Earth?

Question 12:

What is the weight of a 70 kg object on Earth?

  • Question 1:

    490 N

    Question 2:

    245 N

    Question 3:

    735 N

    Question 4:

    980 N

    Question 5:

    294 N

    Question 6:

    588 N

    Question 7:

    196 N

    Question 8:

    441 N

    Question 9:

    784 N

    Question 10:

    539 N

    Question 11:

    882 N

    Question 12:

    686 N

Calculating Resultant Force from a Force Diagram

To calculate the resultant force, simply add up all the forces acting in the same direction and subtract the forces acting in the opposite direction. Ensure that the units are consistent when performing the calculations, and the resultant force is typically measured in newtons (N).

Note: Assume that all forces are acting along the same line.

Question 1:

In a force diagram, there are two forces acting on an object 20 N to the right and 10 N to the left. Calculate the resultant force.

Question 2:

In a force diagram, there are three forces acting on an object 15 N to the right, 5 N to the left, and 25 N to the right. Calculate the resultant force.

Question 3:

In a force diagram, there are two forces acting on an object 12 N to the left and 6 N to the right. Calculate the resultant force.

Question 4:

In a force diagram, there are three forces acting on an object 30 N to the left, 20 N to the right, and 10 N to the left. Calculate the resultant force.

Question 5:

In a force diagram, there are four forces acting on an object 25 N to the left, 15 N to the right, 30 N to the left, and 20 N to the right. Calculate the resultant force.

Question 6:

In a force diagram, there are three forces acting on an object 18 N to the right, 6 N to the right, and 12 N to the left. Calculate the resultant force.

Question 7:

In a force diagram, there are two forces acting on an object 40 N to the left and 20 N to the right. Calculate the resultant force.

Question 8:

In a force diagram, there are four forces acting on an object 50 N to the right, 15 N to the right, 30 N to the left, and 25 N to the left. Calculate the resultant force.

Question 9:

In a force diagram, there are three forces acting on an object 10 N to the right, 5 N to the left, and 15 N to the right. Calculate the resultant force.

Question 10:

In a force diagram, there are four forces acting on an object 35 N to the left, 20 N to the right, 40 N to the left, and 10 N to the right. Calculate the resultant force.

Question 11:

In a force diagram, there are two forces acting on an object 30 N to the right and 5 N to the left. Calculate the resultant force.

Question 12:

In a force diagram, there are three forces acting on an object 25 N to the left, 10 N to the right, and 15 N to the left. Calculate the resultant force.

  • Question 1:

    10 N to the right

    Question 2:

    35 N to the right

    Question 3:

    6 N to the left

    Question 4:

    20 N to the left

    Question 5:

    20 N to the left

    Question 6:

    12 N to the right

    Question 7:

    20 N to the left

    Question 8:

    35 N to the right

    Question 9:

    20 N to the right

    Question 10:

    45 N to the left

    Question 11:

    25 N to the right

    Question 12:

    30 NM to the left

[Optional Expert Level] Calculating Resultant Force from a Force Diagram at Angles

To calculate the resultant force from forces at angles, use vector addition. Break each force into horizontal and vertical components and then add up all the horizontal and vertical components separately. Finally, use the Pythagorean theorem to find the magnitude and trigonometry to find the direction of the resultant force.

Ensure that the units are consistent when performing the calculations, and the resultant force is typically measured in newtons (N).

Question 1:

In a force diagram, two forces are acting on an object at an angle of 30 degrees and 45 degrees to the horizontal. The magnitudes of the forces are 10 N and 15 N, respectively. Calculate the resultant force.

Question 2:

In a force diagram, three forces are acting on an object at angles of 60 degrees, 120 degrees, and 150 degrees to the horizontal. The magnitudes of the forces are 12 N, 8 N, and 15 N, respectively. Calculate the resultant force.

Question 3:

In a force diagram, two forces are acting on an object at angles of 40 degrees and 70 degrees to the horizontal. The magnitudes of the forces are 20 N and 30 N, respectively. Calculate the resultant force.

Question 4:

In a force diagram, three forces are acting on an object at angles of 15 degrees, 75 degrees, and 105 degrees to the horizontal. The magnitudes of the forces are 25 N, 10 N, and 20 N, respectively. Calculate the resultant force.

Question 5:

In a force diagram, two forces are acting on an object at angles of 50 degrees and 80 degrees to the horizontal. The magnitudes of the forces are 18 N and 12 N, respectively. Calculate the resultant force.

Question 6:

In a force diagram, three forces are acting on an object at angles of 30 degrees, 60 degrees, and 120 degrees to the horizontal. The magnitudes of the forces are 15 N, 20 N, and 25 N, respectively. Calculate the resultant force.

Question 7:

In a force diagram, two forces are acting on an object at angles of 25 degrees and 70 degrees to the horizontal. The magnitudes of the forces are 14 N and 10 N, respectively. Calculate the resultant force.

Question 8:

In a force diagram, three forces are acting on an object at angles of 45 degrees, 90 degrees, and 135 degrees to the horizontal. The magnitudes of the forces are 30 N, 15 N, and 20 N, respectively. Calculate the resultant force.

Question 9:

In a force diagram, two forces are acting on an object at angles of 60 degrees and 75 degrees to the horizontal. The magnitudes of the forces are 20 N and 25 N, respectively. Calculate the resultant force.

Question 10:

In a force diagram, three forces are acting on an object at angles of 10 degrees, 50 degrees, and 100 degrees to the horizontal. The magnitudes of the forces are 12 N, 8 N, and 15 N, respectively. Calculate the resultant force.

Question 11:

In a force diagram, two forces are acting on an object at angles of 35 degrees and 80 degrees to the horizontal. The magnitudes of the forces are 18 N and 10 N, respectively. Calculate the resultant force.

Question 12:

In a force diagram, three forces are acting on an object at angles of 20 degrees, 60 degrees, and 100 degrees to the horizontal. The magnitudes of the forces are 25 N, 15 N, and 20 N, respectively. Calculate the resultant force.

  • Question 1:

    25 N, 38 degrees to the horizontal

    Question 2:

    27 N, 114 degrees to the horizontal

    Question 3:

    48 N, 58 degrees to the horizontal

    Question 4:

    42 N, 59 degrees to the horizontal

    Question 5:

    29 N, 62 degrees to the horizontal

    Question 6:

    48 N, 77 degrees to the horizontal

    Question 7:

    22 N, 52 degrees to the horizontal

    Question 8:

    51 N, 82 degrees to the horizontal

    Question 9:

    45 N, 68 degrees to the horizontal

    Question 10:

    27 N, 58 degrees to the horizontal

    Question 11:

    26 N, 51 degrees to the horizontal

    Question 12:

    50 N, 56 degrees to the horizontal

Calculating Work Done

To calculate the work done, use the formula: Work (W) = Force (F) × Distance (d) × cos(θ).

In these questions, assume the angle between the force and the displacement is 0 degrees, so cos(θ) = 1.

Ensure that the units are consistent when performing the calculations, and work done is typically measured in joules (J).

Note: Assume the force is acting in the direction of the displacement.

Question 1:

A force of 20 newtons is applied to move an object a distance of 5 meters. Calculate the work done.

Question 2:

A force of 10 newtons is applied to move an object a distance of 8 meters. Calculate the work done.

Question 3:

A force of 15 newtons is applied to move an object a distance of 12 meters. Calculate the work done.

Question 4:

A force of 25 newtons is applied to move an object a distance of 6 meters. Calculate the work done.

Question 5:

A force of 30 newtons is applied to move an object a distance of 10 meters. Calculate the work done.

Question 6:

A force of 12 newtons is applied to move an object a distance of 4 meters. Calculate the work done.

Question 7:

A force of 18 newtons is applied to move an object a distance of 15 meters. Calculate the work done.

Question 8:

A force of 22 newtons is applied to move an object a distance of 9 meters. Calculate the work done.

Question 9:

A force of 16 newtons is applied to move an object a distance of 7 meters. Calculate the work done.

Question 10:

A force of 28 newtons is applied to move an object a distance of 11 meters. Calculate the work done.

Question 11:

A force of 14 newtons is applied to move an object a distance of 3 meters. Calculate the work done.

Question 12:

A force of 32 newtons is applied to move an object a distance of 13 meters. Calculate the work done.

  • Question 1:

    100 J

    Question 2:

    80 J

    Question 3:

    180 J

    Question 4:

    150 J

    Question 5:

    300 J

    Question 6:

    48 J

    Question 7:

    270 J

    Question 8:

    198 J

    Question 9:

    112 J

    Question 10:

    308 J

    Question 11:

    42 J

    Question 12:

    416 J

Calculating Average Resistive Force from Initial and Final Energy

To calculate the average resistive force, use the formula: Average Resistive Force (F) = (Initial Energy - Final Energy) / Distance (d).

Ensure that the units are consistent when performing the calculations, and average resistive force is typically measured in newtons (N).

Question 1:

An object's initial energy is 200 J and its final energy is 140 J after sliding down a 10m long rough inclined plane. Calculate the average resistive force.

Question 2:

An object's initial energy is 150 J and its final energy is 90 J after being pulled across a 5 m long rough surface. Calculate the average resistive force.

Question 3:

An object's initial energy is 100 J and its final energy is 75 J after being pushed along a 2 m long rough horizontal surface. Calculate the average resistive force.

Question 4:

An object's initial energy is 300 J and its final energy is 200 J after being lifted 6 m vertically upwards. Calculate the average resistive force.

Question 5:

An object's initial energy is 180 J and its final energy is 155 J after being dragged 8 m across a rough surface. Calculate the average resistive force.

Question 6:

An object's initial energy is 240 J and its final energy is 180 J after sliding 18 m down a rough inclined plane. Calculate the average resistive force.

Question 7:

An object's initial energy is 130 J and its final energy is 90 J after being pulled 12 m across a rough surface. Calculate the average resistive force.

Question 8:

An object's initial energy is 220 J and its final energy is 160 J after being pushed 4 m along a rough horizontal surface. Calculate the average resistive force.

Question 9:

An object's initial energy is 350 J and its final energy is 250 J after being lifted 22 m vertically upwards. Calculate the average resistive force.

Question 10:

An object's initial energy is 180 J and its final energy is 155 J after being dragged 35 m across a rough surface. Calculate the average resistive force.

Question 11:

An object's initial energy is 270 J and its final energy is 180 J after sliding 62 m down a rough inclined plane. Calculate the average resistive force.

Question 12:

An object's initial energy is 120 J and its final energy is 85 J after being pushed 3 m along a rough horizontal surface. Calculate the average resistive force.

  • Question 1:

    6 N

    Question 2:

    12 N

    Question 3:

    12.5 N

    Question 4:

    16.7 N

    Question 5:

    3.1 N

    Question 6:

    3.3 N

    Question 7:

    3.3 N

    Question 8:

    15 N

    Question 9:

    4.5 N

    Question 10:

    0.7 N

    Question 11:

    1.5 N

    Question 12:

    11.7 N

Calculating Hooke's Law Values

To calculate values in the Hooke's law equation, rearrange the formula to find the desired value. For example, to find the force applied (F), use F = k * x. To find the spring constant (k), use k = F / x. To find the extension/compression of the spring (x), use x = F / k.

Ensure that the units are consistent when performing the calculations, and force is typically measured in newtons (N), spring constant in newtons per meter (N/m), and extension/compression in meters (m).

Note: Hooke's law equation is F = k * x, where F is the force applied, k is the spring constant, and x is the extension or compression of the spring.

Question 1:

A spring with a spring constant of 40 N/m is compressed by 0.2 meters. Calculate the force applied to the spring.

Question 2:

A spring with a spring constant of 25 N/m is extended by 0.15 meters. Calculate the force applied to the spring.

Question 3:

A spring is compressed by 0.1 meters, and the force applied is 15 N. Calculate the spring constant.

Question 4:

A spring is extended by 0.12 meters, and the force applied is 18 N. Calculate the spring constant.

Question 5:

A spring with a spring constant of 30 N/m is compressed by 0.25 meters. Calculate the force applied to the spring.

Question 6:

A spring with a spring constant of 20 N/m is extended by 0.18 meters. Calculate the force applied to the spring.

Question 7:

A spring is compressed by 0.08 meters, and the force applied is 12 N. Calculate the spring constant.

Question 8:

A spring is extended by 0.14 meters, and the force applied is 24 N. Calculate the spring constant.

Question 9:

A spring with a spring constant of 35 N/m is compressed by 0.3 meters. Calculate the force applied to the spring.

Question 10:

A spring with a spring constant of 22 N/m is extended by 0.2 meters. Calculate the force applied to the spring.

Question 11:

A spring is compressed by 0.12 meters, and the force applied is 9 N. Calculate the spring constant.

Question 12:

A spring is extended by 0.16 meters, and the force applied is 20 N. Calculate the spring constant.

  • Question 1:

    8 N

    Question 2:

    3.75 N

    Question 3:

    1.5 N

    Question 4:

    2.2 N

    Question 5:

    7.5 N

    Question 6:

    3.6 N

    Question 7:

    150 N/m

    Question 8:

    171 N/m

    Question 9:

    10.5 N

    Question 10:

    4.4 N

    Question 11:

    75 N/m

    Question 12:

    125 N/m

Calculating the Size of a Force to its Distance from a Pivot Acting on an Object that is Balanced

To calculate the size of a force to its distance from a pivot to keep an object balanced, use the principle of moments. The total clockwise moment is equal to the total anticlockwise moment.

Ensure that the units are consistent when performing the calculations, and forces are typically measured in newtons (N) and distances in meters (m).

Note: For these questions, assume the object is in equilibrium and not rotating.

Question 1:

A lever is balanced on a pivot. One force of 20 N is applied at a distance of 0.5 meters from the pivot. What is the size of the force applied at a distance of 1 meter from the pivot to keep the lever balanced?

Question 2:

A seesaw is balanced on a pivot. One child exerts a force of 30 N at a distance of 0.8 meters from the pivot. What is the size of the force exerted by the other child at a distance of 1.2 meters from the pivot to keep the seesaw balanced?

Question 3:

A beam is balanced on a pivot. One force of 15 N is applied at a distance of 1.5 meters from the pivot. What is the size of the force applied at a distance of 2 meters from the pivot to keep the beam balanced?

Question 4:

A door is balanced on its hinge. A force of 25 N is applied at a distance of 0.6 meters from the hinge. What is the size of the force applied at a distance of 0.4 meters from the hinge to keep the door balanced?

Question 5:

A balance scale is balanced on a pivot. A weight of 10 N is placed at a distance of 0.2 meters from the pivot on one side. What is the size of the weight needed at a distance of 0.4 meters from the pivot on the other side to keep the balance scale balanced?

Question 6:

A lever is balanced on a pivot. One force of 18 N is applied at a distance of 0.6 meters from the pivot. What is the size of the force applied at a distance of 0.3 meters from the pivot to keep the lever balanced?

Question 7:

A seesaw is balanced on a pivot. One child exerts a force of 40 N at a distance of 1 meter from the pivot. What is the size of the force exerted by the other child at a distance of 0.5 meters from the pivot to keep the seesaw balanced?

Question 8:

A beam is balanced on a pivot. One force of 12 N is applied at a distance of 2 meters from the pivot. What is the size of the force applied at a distance of 1 meter from the pivot to keep the beam balanced?

Question 9:

A door is balanced on its hinge. A force of 20 N is applied at a distance of 0.8 meters from the hinge. What is the size of the force applied at a distance of 0.6 meters from the hinge to keep the door balanced?

Question 10:

A balance scale is balanced on a pivot. A weight of 8 N is placed at a distance of 0.3 meters from the pivot on one side. What is the size of the weight needed at a distance of 0.6 meters from the pivot on the other side to keep the balance scale balanced?

Question 11:

A lever is balanced on a pivot. One force of 25 N is applied at a distance of 1 meter from the pivot. What is the size of the force applied at a distance of 0.5 meters from the pivot to keep the lever balanced?

Question 12:

A seesaw is balanced on a pivot. One child exerts a force of 35 N at a distance of 0.7 meters from the pivot. What is the size of the force exerted by the other child at a distance of 1.3 meters from the pivot to keep the seesaw balanced?

  • Question 1:

    10 N

    Question 2:

    20 N

    Question 3:

    11.25 N

    Question 4:

    37.5 N

    Question 5:

    5 N

    Question 6:

    36 N

    Question 7:

    80 N

    Question 8:

    24 N

    Question 9:

    26.7 N

    Question 10:

    4

    Question 11:

    13.5 N

    Question 12:

    18.8 N

Calculating Pressure at a Surface

Ensure that the units are consistent when performing the calculations, and pressure is typically measured in pascals (Pa) or newtons per square meter (N/m²).

Note: Pressure (P) is defined as force (F) per unit area (A) and is given by the formula P = F / A.

Question 1:

A force of 50 N is applied to an area of 2 square meters. Calculate the pressure at the surface.

Question 2:

A force of 25 N is applied to an area of 1.5 square meters. Calculate the pressure at the surface.

Question 3:

A force of 30 N is applied to an area of 3 square meters. Calculate the pressure at the surface.

Question 4:

A force of 40 N is applied to an area of 4 square meters. Calculate the pressure at the surface.

Question 5:

A force of 20 N is applied to an area of 1 square meter. Calculate the pressure at the surface.

Question 6:

A force of 60 N is applied to an area of 2.5 square meters. Calculate the pressure at the surface.

Question 7:

A force of 35 N is applied to an area of 2 square meters. Calculate the pressure at the surface.

Question 8:

A force of 45 N is applied to an area of 3.5 square meters. Calculate the pressure at the surface.

Question 9:

A force of 55 N is applied to an area of 4 square meters. Calculate the pressure at the surface.

Question 10:

A force of 15 N is applied to an area of 1.2 square meters. Calculate the pressure at the surface.

Question 11:

A force of 65 N is applied to an area of 5 square meters. Calculate the pressure at the surface.

Question 12:

A force of 28 N is applied to an area of 2.2 square meters. Calculate the pressure at the surface.

  • Question 1:

    25 Pa

    Question 2:

    16.7 Pa

    Question 3:

    10 Pa

    Question 4:

    10 Pa

    Question 5:

    20 Pa

    Question 6:

    24 Pa

    Question 7:

    17.5 Pa

    Question 8:

    12.9 Pa

    Question 9:

    13.8 Pa

    Question 10:

    12.5 Pa

    Question 11:

    13 Pa

    Question 12:

    12.7 Pa

Calculating Pressure Due to a Column of Liquid

Ensure that the units are consistent when performing the calculations, and pressure is typically measured in pascals (Pa) or newtons per square meter (N/m²). Density is measured in kilograms per cubic meter (kg/m³), and acceleration due to gravity (g) is approximately 9.81 m/s².

Note: Pressure (P) due to a column of liquid is given by the formula P = ρgh, where ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height of the column.

Question 1:

A column of water with a height of 2 meters exerts pressure. If the density of water is 1000 kg/m³, calculate the pressure at the base of the column.

Question 2:

A column of mercury with a height of 0.8 meters exerts pressure. If the density of mercury is 13600 kg/m³, calculate the pressure at the base of the column.

Question 3:

A column of oil with a height of 3 meters exerts pressure. If the density of oil is 800 kg/m³, calculate the pressure at the base of the column.

Question 4:

A column of water with a height of 1.5 meters exerts pressure. If the density of water is 1000 kg/m³, calculate the pressure at the base of the column.

Question 5:

A column of ethanol with a height of 1.2 meters exerts pressure. If the density of ethanol is 789 kg/m³, calculate the pressure at the base of the column.

Question 6:

A column of mercury with a height of 0.5 meters exerts pressure. If the density of mercury is 13600 kg/m³, calculate the pressure at the base of the column.

Question 7:

A column of oil with a height of 2.5 meters exerts pressure. If the density of oil is 800 kg/m³, calculate the pressure at the base of the column.

Question 8:

A column of water with a height of 3 meters exerts pressure. If the density of water is 1000 kg/m³, calculate the pressure at a point 1 meter from the base of the column.

Question 9:

A column of mercury with a height of 0.6 meters exerts pressure. If the density of mercury is 13600 kg/m³, calculate the pressure at a point 0.4 meters from the base of the column.

  • Question 1:

    19600 Pa

    Question 2:

    106624 Pa

    Question 3:

    23520 Pa

    Question 4:

    14700 Pa

    Question 5:

    9279 Pa

    Question 6:

    66640 Pa

    Question 7:

    19600 Pa

    Question 8:

    29400 Pa

    Question 9:

    79968 Pa

Calculating the Change of Pressure When Changing the Height in a Column of Liquid

Ensure that the units are consistent when performing the calculations, and pressure is typically measured in pascals (Pa) or newtons per square meter (N/m²). Density is measured in kilograms per cubic meter (kg/m³), and acceleration due to gravity (g) is approximately 9.81 m/s².

Note: The change of pressure within a column of liquid due to a change in height (Δh) can be calculated using the formula ΔP = ρgΔh, where ρ is the density of the liquid and g is the acceleration due to gravity.

Question 1:

A column of water has a height of 2 meters. If the height is increased by 1 meter, calculate the change in pressure at the base of the column. (Density of water = 1000 kg/m³)

Question 2:

A column of mercury has a height of 0.8 meters. If the height is decreased by 0.3 meters, calculate the change in pressure at the base of the column. (Density of mercury = 13600 kg/m³)

Question 3:

A column of oil has a height of 3 meters. If the height is increased by 0.5 meters, calculate the change in pressure at the base of the column. (Density of oil = 800 kg/m³)

Question 4:

A column of water has a height of 1.5 meters. If the height is decreased by 0.8 meters, calculate the change in pressure at the base of the column. (Density of water = 1000 kg/m³)

Question 5:

A column of ethanol has a height of 1.2 meters. If the height is increased by 0.2 meters, calculate the change in pressure at the base of the column. (Density of ethanol = 789 kg/m³)

Question 6:

A column of mercury has a height of 0.5 meters. If the height is decreased by 0.1 meters, calculate the change in pressure at the base of the column. (Density of mercury = 13600 kg/m³)

Question 7:

A column of oil has a height of 2.5 meters. If the height is increased by 1 meter, calculate the change in pressure at the base of the column. (Density of oil = 800 kg/m³)

Question 8:

A column of water has a height of 2 meters. If the height is decreased by 0.5 meters, calculate the change in pressure at a point 1 meter from the base of the column. (Density of water = 1000 kg/m³)

Question 9:

A column of mercury has a height of 0.8 meters. If the height is increased by 0.3 meters, calculate the change in pressure at a point 0.4 meters from the base of the column. (Density of mercury = 13600 kg/m³)

Question 10:

A column of oil has a height of 3 meters. If the height is decreased by 0.5 meters, calculate the change in pressure at a point 2 meters from the base of the column. (Density of oil = 800 kg/m³)

Question 11:

A column of water has a height of 1.5 meters. If the height is increased by 0.8 meters, calculate the change in pressure at a point 0.5 meters from the base of the column. (Density of water = 1000 kg/m³)

Question 12:

A column of ethanol has a height of 1.2 meters. If the height is decreased by 0.2 meters, calculate the pressure at a point 0.6 meters from the base of the column a) before the height change b) after the height change. (Density of ethanol = 789 kg/m³)

  • Question 1:

    9800 Pa

    Question 2:

    -39984 Pa

    Question 3:

    3920 Pa

    Question 4:

    -7840 Pa

    Question 5:

    1546 Pa

    Question 6:

    -13328 Pa

    Question 7:

    7840 Pa

    Question 8:

    -4900 Pa

    Question 9:

    39984 Pa

    Question 10:

    -3920 Pa

    Question 11:

    7840 Pa

    Question 12:

    a) 4639 Pa

    b) 3093 Pa

Calculating Speed

To calculate speed, use the formula: Speed (v) = Distance (d) / Time (t).

Ensure that the units are consistent when performing the calculations, and speed is typically measured in meters per second (m/s) or kilometers per hour (km/h).

Question 1:

A car travels a distance of 150 meters in 10 seconds. Calculate its speed.

Question 2:

A cyclist covers a distance of 800 meters in 4 minutes. Calculate their speed in meters per second.

Question 3:

A train travels 600 kilometres in 5 hours. Calculate its speed in kilometres per hour.

Question 4:

A runner completes a 10-kilometre race in 50 minutes. Calculate their average speed in meters per second.

Question 5:

A roller coaster travels a distance of 400 meters in 20 seconds. Calculate its speed.

Question 6:

A boat covers a distance of 1.5 kilometres in 10 minutes. Calculate its speed in meters per second.

Question 7:

An aeroplane travels 2000 kilometres in 2 hours. Calculate its speed in kilometres per hour.

Question 8:

A swimmer completes a 400-meter race in 5 minutes. Calculate their average speed in meters per second.

Question 9:

A car covers a distance of 120 miles in 2 hours. Calculate its speed in miles per hour.

Question 10:

A cyclist travels 25 kilometres in 1 hour. Calculate their speed in meters per second.

Question 11:

A train travels 450 meters in 30 seconds. Calculate its speed.

Question 12:

A runner completes a 5-kilometre race in 20 minutes. Calculate their average speed in meters per second.

  • Question 1:

    15 m/s

    Question 2:

    3.3 m/s

    Question 3:

    120 km/h

    Question 4:

    3.3 m/s

    Question 5:

    20 m/s

    Question 6:

    2.5 m/s

    Question 7:

    1000 km/h

    Question 8:

    1.3 m/s

    Question 9:

    60 mph

    Question 10:

    6.9 m/s

    Question 11:

    15 m/s

    Question 12:

    4.2 m/s

Calculating Average Speed from Non-Uniform Motion

To calculate average speed during non-uniform motion, divide the total distance traveled by the total time taken.

Ensure that the units are consistent when performing the calculations, and speed is typically measured in meters per second (m/s).

Question 1:

A car accelerates uniformly from rest to a speed of 30 m/s in 6 seconds. Calculate its average speed during this time.

Question 2:

A cyclist starts from rest and accelerates at a constant rate of 2 m/s² for 4 seconds. Calculate the average speed of the cyclist during this time.

Question 3:

A ball rolls down a slope with an initial speed of 5 m/s. It accelerates uniformly at a rate of 1.5 m/s² for 8 seconds. Calculate its average speed during this time.

Question 4:

A sprinter accelerates uniformly from rest to a speed of 10 m/s in 3 seconds. Calculate the average speed of the sprinter during this time.

Question 5:

A car slows down from 20 m/s to rest with a constant deceleration of 2.5 m/s² over a distance of 40 meters. Calculate its average speed during this time.

Question 6:

A rocket accelerates uniformly from rest to a speed of 300 m/s in 12 seconds. Calculate its average speed during this time.

Question 7:

A skateboarder starts from rest and accelerates at a rate of 3 m/s² for 5 seconds. Calculate the average speed of the skateboarder during this time.

Question 8:

A ball is thrown upward with an initial speed of 15 m/s. It decelerates uniformly at a rate of 2 m/s² until it comes to rest. Calculate its average speed during this time.

Question 9:

A car accelerates uniformly from 10 m/s to 30 m/s in 5 seconds. Calculate the average speed of the car during this time.

Question 10:

A cyclist starts from rest and accelerates at a constant rate of 4 m/s² for 8 seconds. Calculate the average speed of the cyclist during this time.

Question 11:

A train slows down from 50 m/s to 30 m/s with a constant deceleration of 2 m/s². Calculate its average speed during this time.

Question 12:

A skateboarder accelerates uniformly from rest to a speed of 6 m/s in 2 seconds. Calculate the average speed of the skateboarder during this time.

  • Question 1:

    2.5 m/s

    Question 2:

    4 m/s

    Question 3:

    11 m/s

    Question 4:

    5 m/s

    Question 5:

    10 m/s

    Question 6:

    150 m/s

    Question 7:

    7.5 m/s

    Question 8:

    7.5 m/s

    Question 9:

    20 m/s

    Question 10:

    16 m/s

    Question 11:

    40 m/s

    Question 12:

    3 m/s

Calculating Acceleration from Initial and Final Velocity

To calculate acceleration from initial and final velocity, use the formula: Acceleration (a) = (Final Velocity - Initial Velocity) / Time taken.

Ensure that the units are consistent when performing the calculations, and acceleration is typically measured in meters per second squared (m/s²). Velocity is measured in meters per second (m/s).

Question 1:

A car accelerates from an initial velocity of 10 m/s to a final velocity of 30 m/s in 5 seconds. Calculate its acceleration.

Question 2:

A cyclist accelerates from rest to a final velocity of 12 m/s in 6 seconds. Calculate the acceleration of the cyclist.

Question 3:

A ball is thrown upward with an initial velocity of 20 m/s and comes to rest at the top of its motion. Calculate its acceleration during the upward motion.

Question 4:

A sprinter accelerates from an initial velocity of 5 m/s to a final velocity of 10 m/s in 2 seconds. Calculate the acceleration of the sprinter.

Question 5:

A car decelerates from an initial velocity of 30 m/s to rest in 10 seconds. Calculate its acceleration.

Question 6:

A rocket accelerates from an initial velocity of 0 m/s to a final velocity of 500 m/s in 20 seconds. Calculate its acceleration.

Question 7:

A skateboarder accelerates from rest to a final velocity of 8 m/s in 4 seconds. Calculate the acceleration of the skateboarder.

Question 8:

A ball is thrown upward with an initial velocity of 15 m/s and reaches a final velocity of 5 m/s at the top of its motion. Calculate its acceleration during the upward motion.

Question 9:

A car accelerates from an initial velocity of 20 m/s to a final velocity of 40 m/s in 5 seconds. Calculate its acceleration.

Question 10:

A cyclist accelerates from rest to a final velocity of 10 m/s in 3 seconds. Calculate the acceleration of the cyclist.

Question 11:

A train decelerates from an initial velocity of 50 m/s to a final velocity of 30 m/s in 5 seconds. Calculate its acceleration.

Question 12:

A skateboarder accelerates from rest to a final velocity of 12 m/s in 2 seconds. Calculate the acceleration of the skateboarder.

  • Question 1:

    4 m/s²

    Question 2:

    2 m/s²

    Question 3:

    -9.8 m/s²

    Question 4:

    2.5 m/s²

    Question 5:

    -3 m/s²

    Question 6:

    25 m/s²

    Question 7:

    2 m/s²

    Question 8:

    -9.8 m/s²

    Question 9:

    4 m/s²

    Question 10:

    3.3 m/s²

    Question 11:

    -4 m/s²

    Question 12:

    6 m/s²

Calculating Distance Traveled from the Area Under a Velocity-Time Graph

To calculate the distance traveled from the area under a velocity-time graph, find the area of each individual section and sum them up.

Ensure that the units are consistent when performing the calculations, and distance is typically measured in meters (m). Velocity is measured in meters per second (m/s) and time in seconds (s).

Question 1:

Calculate the distance travelled by an object with a constant velocity of 10 m/s for 5 seconds.

Question 2:

Calculate the distance travelled by an object that accelerates uniformly from rest to a final velocity of 20 m/s in 8 seconds.

Question 3:

Calculate the distance travelled by an object that moves with a constant velocity of 5 m/s for 10 seconds.

Question 4:

Calculate the distance travelled by an object that accelerates uniformly from 5 m/s to 15 m/s in 4 seconds.

Question 5:

Calculate the distance travelled by an object that decelerates uniformly from 20 m/s to rest in 6 seconds.

Question 6:

Calculate the distance travelled by an object that accelerates uniformly from 0 m/s to 30 m/s in 12 seconds.

Question 7:

Calculate the distance travelled by an object that moves with a constant velocity of 8 m/s for 15 seconds.

Question 8:

Calculate the distance travelled by an object that accelerates uniformly from 10 m/s to 25 m/s in 5 seconds.

Question 9:

Calculate the distance travelled by an object with a constant velocity of 12 m/s for 8 seconds.

Question 10:

Calculate the distance travelled by an object that decelerates uniformly from 30 m/s to 10 m/s in 7 seconds.

Question 11:

Calculate the distance travelled by an object that accelerates uniformly from rest to a final velocity of 40 m/s in 10 seconds.

Question 12:

Calculate the distance travelled by an object that moves with a constant velocity of 6 m/s for 20 seconds.

  • Question 1:

    50 m

    Question 2:

    160 m

    Question 3:

    50 m

    Question 4:

    40 m

    Question 5:

    60 m

    Question 6:

    180 m

    Question 7:

    120 m

    Question 8:

    87.5 m

    Question 9:

    96 m

    Question 10:

    140 m

    Question 11:

    400 m

    Question 12:

    120 m

Calculating Acceleration Without Time

Note: For some questions, we use the fact that the initial velocity squared ($u^2$) is equal to the final velocity squared ($v^2$) minus 2 times the acceleration ($a$) times the distance ($d$), which is derived from the equation $v^2 = u^2 + 2ad$.

Ensure that the units are consistent when performing the calculations, and acceleration is typically measured in meters per second squared (m/s²), velocity in meters per second (m/s), and distance in meters (m).

Calculating acceleration without time can be a bit tricky, but we can use other kinematic equations that involve initial and final velocities and distance. Here are 12 GCSE Physics calculation questions that involve calculating acceleration without time:

Question 1:

A car starts from rest and accelerates uniformly to a final velocity of 20 m/s over a distance of 100 meters. Calculate its acceleration.

Question 2:

A ball is thrown vertically upward with an initial velocity of 15 m/s. It reaches a maximum height of 10 meters. Air resistance and gravity act on the ball. Calculate the average acceleration of the ball while it is in the air.

Question 3:

A skateboarder starts from rest and accelerates uniformly to a final velocity of 8 m/s over a distance of 25 meters. Calculate the acceleration of the skateboarder.

Question 4:

A stone is dropped from a height of 40 meters above the ground. It reaches the ground with a final velocity of 20 m/s. Air resistance acts on the stone. Calculate the average acceleration of the stone during its fall.

Question 5:

A cyclist decelerates uniformly from 10 m/s to rest over a distance of 30 meters. Calculate the deceleration (acceleration) of the cyclist.

Question 6:

A rocket launches vertically upward from the ground with an initial velocity of 0 m/s. It reaches a final velocity of 100 m/s over a distance of 500 meters. Calculate the acceleration of the rocket.

Question 7:

A car travelling at a constant speed of 30 m/s suddenly applies the brakes and comes to rest over a distance of 50 meters. Calculate the deceleration (acceleration) of the car.

Question 8:

A car accelerates uniformly from 20 m/s to 40 m/s over a distance of 200 meters. Calculate its acceleration.

  • Question 1:

    2 m/s²

    Question 2:

    -11.25 m/s²

    Question 3:

    1.28 m/s²

    Question 4:

    5 m/s²

    Question 5:

    1.67 m/s²

    Question 6:

    10 m/s²

    Question 7:

    -9 m/s²

    Question 8:

    3 m/s²

Calculating Newton's Second Law

To calculate using Newton's second law, use the formula: Force (F) = Mass (m) × Acceleration (a).

Ensure that the units are consistent when performing the calculations, and force is typically measured in newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s²).

Question 1:

A force of 10 N acts on an object with a mass of 2 kg. Calculate the acceleration of the object using Newton's second law.

Question 2:

A force of 15 N acts on an object with a mass of 5 kg. Calculate the acceleration of the object using Newton's second law.

Question 3:

An object with a mass of 3 kg experiences an acceleration of 4 m/s². Calculate the net force acting on the object using Newton's second law.

Question 4:

An object with a mass of 6 kg experiences an acceleration of 2 m/s². Calculate the net force acting on the object using Newton's second law.

Question 5:

A force of 20 N is applied to an object, causing it to accelerate at 5 m/s². Calculate the mass of the object using Newton's second law.

Question 6:

A force of 8 N is applied to an object, causing it to accelerate at 2 m/s². Calculate the mass of the object using Newton's second law.

Question 7:

An object with a mass of 4 kg is pushed with a force of 16 N. Calculate the acceleration of the object using Newton's second law.

Question 8:

An object with a mass of 10 kg is pushed with a force of 30 N. Calculate the acceleration of the object using Newton's second law.

Question 9:

An object with a mass of 5 kg accelerates at 3 m/s². Calculate the net force acting on the object using Newton's second law.

Question 10:

An object with a mass of 8 kg accelerates at 4 m/s². Calculate the net force acting on the object using Newton's second law.

Question 11:

A force of 12 N is applied to an object, causing it to accelerate at 2 m/s². Calculate the mass of the object using Newton's second law.

Question 12:

A force of 25 N is applied to an object, causing it to accelerate at 5 m/s². Calculate the mass of the object using Newton's second law.

  • Question 1:

    5 m/s²

    Question 2:

    3 m/s²

    Question 3:

    12 N

    Question 4:

    12 N

    Question 5:

    4 kg

    Question 6:

    4 kg

    Question 7:

    4 m/s²

    Question 8:

    3 m/s²

    Question 9:

    15 N

    Question 10:

    32 N

    Question 11:

    6 kg

    Question 12:

    5 kg

Calculating Stopping Distance

Question 1:

A car is travelling at 40 m/s and comes to a complete stop in 5 seconds. Calculate its average deceleration in m/s².

Question 2:

If the reaction time of a driver is 1.5 seconds and the car's speed is 25 m/s, what distance will the car travel during the reaction time?

Question 3:

An object is moving at a constant speed of 10 m/s and takes 4 seconds to come to a stop. Calculate the stopping distance.

Question 4:

A cyclist is travelling at 12 m/s and applies the brakes, resulting in an average deceleration of 2.5 m/s². How long will it take for the cyclist to stop?

Question 5:

A truck travelling at 30 m/s takes 50 meters to come to a stop. Calculate the average deceleration in m/s².

Question 6:

If a car's stopping distance is 40 meters, and its braking distance is 30 meters, what is the car's thinking distance?

Question 7:

A motorbike is travelling at 20 m/s and takes 2 seconds to stop. Determine the deceleration of the motorbike in m/s².

Question 8:

A train is moving at 60 m/s when the emergency brakes are applied, resulting in a deceleration of 1.5 m/s². What distance will the train cover before stopping?

Question 9:

An object moving at 15 m/s comes to a stop with an average deceleration of 3 m/s². Calculate the time it takes for the object to stop.

Question 10:

If a skateboarder's stopping distance is 25 meters and their thinking distance is 10 meters, calculate their braking distance.

Question 11:

A bus travelling at 25 m/s takes 4 seconds to stop. Calculate the deceleration of the bus in m/s².

  • Question 1:

    8 m/s²

    Question 2:

    37.5 m

    Question 3:

    20 m

    Question 4:

    4.8 s

    Question 5:

    9 m/s²

    Question 6:

    10 m

    Question 7:

    10 m/s²

    Question 8:

    1200 m

    Question 9:

    5 s

    Question 10:

    15 m

    Question 11:

    6.25 m/s²

Calculating Momentum

To calculate momentum, use the formula: Momentum (p) = Mass (m) × Velocity (v).

Ensure that the units are consistent when performing the calculations, and momentum is typically measured in kilogram meters per second (kg m/s). Mass is measured in kilograms (kg) and velocity in meters per second (m/s).

Question 1:

An object with a mass of 5 kg is moving with a velocity of 10 m/s. Calculate its momentum.

Question 2:

An object with a mass of 8 kg is moving with a velocity of 15 m/s. Calculate its momentum.

Question 3:

An object with a mass of 3 kg is moving with a velocity of 6 m/s. Calculate its momentum.

Question 4:

An object with a mass of 12 kg is moving with a velocity of 4 m/s. Calculate its momentum.

Question 5:

Two objects with masses 2 kg and 3 kg are moving with velocities of 8 m/s and 5 m/s, respectively, in the same direction. Calculate their total momentum of the system.

Question 6:

Two objects with masses 4 kg and 6 kg are moving with velocities of 10 m/s and 12 m/s, respectively, in opposite directions. Calculate their total momentum.

Question 7:

An object with a mass of 7 kg is moving with a velocity of 9 m/s. If its velocity is doubled, calculate the new momentum.

Question 8:

An object with a mass of 10 kg is moving with a velocity of 20 m/s. If its velocity is halved, calculate the new momentum.

Question 9:

An object with a mass of 5 kg is initially at rest. If it accelerates uniformly to a velocity of 15 m/s over a distance of 10 meters, calculate its final momentum.

Question 10:

An object with a mass of 8 kg is initially at rest. If it accelerates uniformly to a velocity of 24 m/s over a distance of 15 meters, calculate its final momentum.

Question 11:

An object with a mass of 2 kg is moving with a velocity of 5 m/s. If it comes to rest uniformly over a distance of 8 meters, calculate its change in momentum.

Question 12:

An object with a mass of 6 kg is moving with a velocity of 12 m/s. If it comes to rest uniformly over a distance of 20 meters, calculate its change in momentum.

  • Question 1:

    50 kgm/s

    Question 2:

    120 kgm/s

    Question 3:

    18 kgm/s

    Question 4:

    48 kgm/s

    Question 5:

    31 kgm/s

    Question 6:

    112 kgm/s

    Question 7:

    63 kgm/s

    Question 8:

    200 kgm/s

    Question 9:

    75 kgm/s

    Question 10:

    192 kgm/s

    Question 11:

    10 kgm/s

    Question 12:

    72 kgm/s

Calculating Final Velocity After a Collision Using Momentum

To calculate the final velocity after a collision using momentum, use the formula: Final Velocity = (Total Momentum after Collision) / (Total Mass).

Ensure that the units are consistent when performing the calculations, and velocity is measured in meters per second (m/s), mass in kilograms (kg), and momentum in kilogram meters per second (kg m/s).

Question 1:

A car with a mass of 800 kg is moving with a velocity of 20 m/s. It collides with a stationary car with a mass of 600 kg. Calculate the final velocity of both cars if they stick together after the collision.

Question 2:

A ball with a mass of 0.2 kg is moving with a velocity of 8 m/s. It collides with a wall and bounces back with the same speed. Calculate the final velocity of the ball after the collision.

Question 3:

Two trains are moving towards each other. Train A with a mass of 5000 kg has a velocity of 30 m/s, and Train B with a mass of 6000 kg has a velocity of 25 m/s. Calculate their final velocity after the join in the collision.

Question 4:

Two ice skaters, one with a mass of 60 kg and a velocity of 5 m/s, and the other with a mass of 45 kg and a velocity of -3 m/s (moving in the opposite direction), collide and stick together. Calculate their final velocity after the collision.

Question 5:

A cricket ball with a mass of 0.15 kg is moving with a velocity of 20 m/s. It collides with a bat and rebounds with a velocity of 25 m/s in the opposite direction. Calculate the change in momentum during the collision.

Question 6:

A trolley with a mass of 2 kg is moving with a velocity of 4 m/s. It collides with a stationary trolley with a mass of 3 kg. Calculate the final velocity of both trolleys if they move together after the collision.

Question 7:

A tennis ball with a mass of 0.05 kg is moving with a velocity of 10 m/s. It collides with a wall and rebounds with a velocity of -8 m/s. Calculate the change in momentum during the collision.

Question 8:

A car with a mass of 1000 kg is moving with a velocity of 25 m/s. It collides with a stationary truck with a mass of 5000 kg. Calculate the final velocity of both vehicles if they stick together after the collision.

Question 9:

A toy car with a mass of 0.1 kg is moving with a velocity of 2 m/s. It collides with another toy car with a mass of 0.2 kg and a velocity of -3 m/s (moving in the opposite direction). They stick together. Calculate their final velocity after the collision.

  • Question 1:

    11.4 m/s

    Question 2:

    -8 m/s

    Question 3:

    0 m/s

    Question 4:

    1.57 m/s

    Question 5:

    -28.15 kgm/s

    Question 6:

    1.6 m/s

    Question 7:

    0.9 kgm/s

    Question 8:

    4.17 kgm/s

    Question 9:

    -1.3 m/s

Calculation Questions Related to Two Objects Colliding and Conserving Momentum

Remember to apply the conservation of momentum principle and use the appropriate equations to solve these collision problems.

Question 1:

Two cars with masses 800 kg and 1200 kg, respectively, collide head-on. If the initial velocity of the first car is 12 m/s and the second car is at rest, what are their final velocities after the collision? (Assume cars move together after the collision)

Question 2:

A tennis ball with a mass of 0.1 kg is thrown horizontally with a velocity of 5 m/s and collides with a stationary ball with the same mass. After the collision, both balls move together. Calculate their final velocity.

Question 3:

Two ice skaters, one with a mass of 65 kg moving at 3 m/s, and the other with a mass of 45 kg moving at -2 m/s (opposite direction), collide and stick together. Calculate their final velocity after the collision.

Question 4:

A 1000 kg car is traveling at 20 m/s and collides with a 1500 kg truck initially at rest. If they stick together after the collision, what is their final velocity?

Question 5:

A 0.2 kg ball is thrown horizontally with a velocity of 8 m/s and collides with a 0.3 kg ball initially at rest. After the collision, the two balls move together. Calculate their final velocity.

  • Question 1:

    4.8 m/s

    Question 2:

    2.5 m/s

    Question 3:

    0.95 m/s

    Question 4:

    8 m/s

    Question 5:

    26.7 m/s

Calculating Impulse

To calculate impulse, use the formula: Impulse = Force × Time, or Impulse = Change in Momentum.

Ensure that the units are consistent when performing the calculations, and impulse is typically measured in kilogram meters per second (kg m/s) or newton seconds (N s). Force is measured in newtons (N), time in seconds (s), and momentum in kilogram meters per second (kg m/s).

Question 1:

A ball with a mass of 0.1 kg is moving with a velocity of 15 m/s. It hits a wall and comes to rest in 0.05 seconds. Calculate the force experienced by the ball on the wall.

Question 2:

A car with a mass of 1000 kg is moving with a velocity of 20 m/s. The driver applies the brakes, and the car comes to rest in 5 seconds. Calculate the impulse exerted by the brakes on the car.

Question 3:

A cricket ball with a mass of 0.2 kg is moving with a velocity of 20 m/s. It collides with a club, rebounds with a velocity of 30 m/s, and the collision time is 0.02 seconds. Calculate the impulse experienced by the golf ball.

Question 4:

A tennis player hits a ball with a force of 100 N for 0.02 seconds. If the ball has a mass of 0.1 kg, calculate the impulse exerted by the player on the ball.

Question 5:

A hockey puck with a mass of 0.3 kg is moving with a velocity of 15 m/s. It collides with a wall and rebounds with a velocity of -10 m/s. The collision time is 0.02 seconds. Calculate the average force experienced by the puck.

Question 6:

A football with a mass of 0.4 kg is moving with a velocity of 12 m/s. It collides with a wall and rebounds with a velocity of -10 m/s. The collision time is 0.05 seconds. Calculate the average force experienced by the ball.

Question 7:

A cricket ball with a mass of 0.15 kg is moving with a velocity of 20 m/s. It collides with a bat and rebounds with a velocity of 25 m/s in the opposite direction. The collision time is 0.02 seconds. Calculate the impulse experienced by the ball.

  • Question 1:

    30 N

    Question 2:

    20000 kgm/s OR Ns

    Question 3:

    10 kgm/s OR Ns

    Question 4:

    2 kgm/s OR Ns

    Question 5:

    375 N

    Question 6:

    176 N

    Question 7:

    6.75 kgm/s OR Ns