**Tennis Ball Collision Problem: Understanding Impulse and Work**A tennis player receives a shot with a ball weighing 0.0600 kg. The ball initially travels horizontally at a speed of 24.0 m/s. The player returns the shot, and the ball then moves horizontally in the opposite direction at 44.5 m/s. Assume the initial motion of the ball is in the negative x direction.---**(a) Calculating Impulse Delivered to the Ball by the Tennis Racket**- Impulse (\(I\)) is calculated using the change in momentum of the ball. It's given by the formula: \[ I = \Delta p = m(v_f - v_i) \]Where: - \( m = 0.0600 \, \text{kg} \) (mass of the ball) - \( v_i = -24.0 \, \text{m/s} \) (initial velocity, negative direction) - \( v_f = 44.5 \, \text{m/s} \) (final velocity, positive direction)- Resulting Impulse: \(\boxed{1 \, \text{N} \cdot \text{s}}\)---**(b) Evaluating Work Done on the Ball and Energy Changes**- When the ball collides with the racket, work is done on the ball. Some energy transforms into internal energy within the ball due to this collision.- The work-energy equation is given as: \[ W - \Delta E_{\text{int}} = \Delta KE \]Where: - \( W \) is the work done - \( \Delta E_{\text{int}} \) is the change in internal energy - \( \Delta KE \) is the change in kinetic energy of the ball- \( \Delta KE \) is calculated as: \[ \Delta KE = \frac{1}{2} m (v_f^2 - v_i^2) \]- Resulting Work and Energy Sum: \(\boxed{3 \, \text{J}}\)

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A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 24.0 m/s and returns the shot with the ball traveling horizontally at 44.5 m/s in the opposite direction. (Assume the initial direction of the ball is in the -x direction. (a) What is the impulse delivered to the ball by the tennis racket? (b) Some work is done on the system of the ball and some energy appears in the ball as an increase internal energy during the collision between the ball and the racket. What is the sum W - AE for the ball?

A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 24.0 m/s and returns the shot with the ball traveling horizontally at 44.5 m/s in the opposite direction. (Assume the initial direction of the ball is in the -x direction. (a) What is the impulse delivered to the ball by the tennis racket? (b) Some work is done on the system of the ball and some energy appears in the ball as an increase internal energy during the collision between the ball and the racket. What is the sum W - AE for the ball?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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