Lesson Worksheet: Impulse and Momentum Mathematics

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.

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.

The given figure shows a force–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 force’s impulse.

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 N⋅s, determine the value of .

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

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.

A body of mass 5 kg fell vertically from rest. It reached the water’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.

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

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 N⋅s on the ball during the impact, find the rebound speed of the ball.

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.