A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 50.0 m / s

step 1 This question gives you a ball going to the right or tennis ball traveling at 50 meters per seco

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

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

Key Concepts

Impulse-Momentum Theorem

The impulse-momentum theorem states that the impulse delivered to an object is equal to the change in its momentum. Impulse is defined as the product of the force applied and the time interval over which it acts, and in problems like this, it is most effectively calculated as the algebraic difference between the final and initial momentum of the object. This concept is crucial when analyzing collisions or interactions that result in a change of velocity, taking into account both the magnitude and the direction of the velocity vectors.

Work-Energy Theorem

The work-energy theorem connects the work done on an object to the change in its kinetic energy. In collision and momentum change problems, it is used to determine how the energy of the object has been altered due to the work performed by an external force. Work is defined as the force component along the displacement multiplied by the displacement, and in many cases, it is conveniently calculated by finding the difference between the final and initial kinetic energies of the object.

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