# Lesson Worksheet: Impulse and Momentum Mathematics

In this worksheet, we will practice relating the impulse on a body to the change of momentum of the body.

Q1:

A constant force acted on a body of mass 6 kg. As a result, its speed changed from 37 km/h to 49 km/h. Calculate the magnitude of the impulse of this force on this body.

Q2:

A smooth sphere of mass 1,412 g was moving horizontally in a straight line at 13.5 m/s when it hit a smooth vertical wall and rebounded at 9 m/s. Determine the magnitude of the impulse exerted on the sphere.

Q3:

The given figure shows a forceβtime graph for a force acting in a constant direction on a body moving along a smooth horizontal plane. Using the information provided, calculate the magnitude of the forceβs impulse.

Q4:

A constant force acted on a body of mass changing its speed from 9 m/s to 54 km/h. Given that the impulse of the force was 5.82 Nβs, determine the value of .

Q5:

The forces , , and acted on a body for 3 seconds. If their combined impulse on the body was , find the values of and .

• A,
• B,
• C,
• D,

Q6:

Three forces, , , and , where , , and are three mutually perpendicular unit vectors, acted on a body for 3 s. Find the magnitude of their combined impulse on the body.

• A27 Nβs
• B Nβs
• C Nβs
• D9 Nβs

Q7:

A body of mass 5 kg fell vertically from rest. It reached the waterβs surface after 2.2 s. Then, as it moved through the water, it descended vertically with a constant speed such that it covered 3.9 m in 1.5 s. Find the magnitude of the change in its momentum as a result of its impact with the water.

Q8:

The given figure shows a forceβtime graph. At time s, where , the force is given by . Find the impulse over the first four seconds.

• A4 Nβs
• B8 Nβs
• C Nβs
• D Nβs

Q9:

A ball of mass 400 g moves perpendicularly toward a vertical wall at a constant speed of 16 m/s. Given that the wall exerts an impulse of 11 Nβs on the ball during the impact, find the rebound speed of the ball.

• A5.75 m/s
• B27.5 m/s
• C11.5 m/s
• D19.5 m/s

Q10:

A sphere of mass 83 g fell vertically from a height of 8.1 m onto a section of horizontal ground. It rebounded and reached a height of 3.6 m. Given that the duration of the impact was 0.42 s, and the acceleration due to gravity is 9.8 m/s2, find the average impact force to the nearest two decimal places.