A tennis player receives a shot with the ball (0.0600 kg)...

A tennis player receives a shot with the ball $(0.0600 {kg})$ traveling horizontally at 50.0 ${m} / {s}$ and returns the shot with the ball traveling horizontally at 40.0 ${m} / {s}$ in the opposite direction. (a) What is the impulse delivered to the ball by the racket? (b) What work does the racket do on the ball?

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Key Concepts

Impulse-Momentum Theorem

This theorem states that the impulse delivered to an object is equal to the change in its momentum. In problems involving collisions or impacts, impulse is calculated by multiplying the force applied by the time duration over which it acts, or more simply as the difference between the final and initial momentum of the object. Understanding this concept is crucial when dealing with changes in motion, especially when direction reversals occur, as momentum is a vector quantity that considers both magnitude and direction.

Work-Energy Theorem

The work-energy theorem relates the work done on an object to its change in kinetic energy. In this context, work is defined as the force applied to an object times the displacement in the direction of that force, and it manifests as a change in the object’s kinetic energy. This principle is especially relevant for problems where an object's speed changes, providing a method to calculate the work done by identifying the difference between its initial and final kinetic energies.

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