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Problem 5 Tennis Bounce A tennis ball of mass m is dropped from a height 4h and after bouncing on the ground only reaches a height of h. (a) Use kinematics to find the speed it hits the ground and the speed that it leaves the ground. (b) What is the change in momentum of the ball? (c) The force the ground exerts on the ball as a function of time is shown. What is the impulse in terms of Fo and to? Fo (d) Find the maximum value of the force, (Fo), in terms of h, m, and to. 2to 4to 6to

Problem 5 Tennis Bounce A tennis ball of mass m is dropped from a height 4h and after bouncing on the ground only reaches a height of h. (a) Use kinematics to find the speed it hits the ground and the speed that it leaves the ground. (b) What is the change in momentum of the ball? (c) The force the ground exerts on the ball as a function of time is shown. What is the impulse in terms of Fo and to? Fo (d) Find the maximum value of the force, (Fo), in terms of h, m, and to. 2to 4to 6to

College Physics
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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**Problem 5: Tennis Bounce** A tennis ball of mass \( m \) is dropped from a height \( 4h \) and after bouncing on the ground only reaches a height of \( h \). (a) Use kinematics to find the speed it hits the ground *and* the speed that it leaves the ground. (b) What is the change in momentum of the ball? (c) The force the ground exerts on the ball as a function of time is shown. What is the impulse in terms of \( F_0 \) and \( t_0 \)? (d) Find the maximum value of the force, \( (F_0) \), in terms of \( h, m, \) and \( t_0 \). --- **Graph Explanation:** The graph represents the force \( F \) exerted by the ground on the ball as a function of time. - On the horizontal axis, time is marked at intervals \( 2t_0, 4t_0, \) and \( 6t_0 \). - On the vertical axis, force is indicated with the maximum value marked as \( F_0 \). The force-time graph forms a trapezoidal shape: - The force increases linearly from zero, reaches a maximum \( F_0 \) at \( 2t_0 \), remains constant until \( 4t_0 \), and then decreases linearly back to zero by \( 6t_0 \).
Transcribed Image Text:**Problem 5: Tennis Bounce** A tennis ball of mass \( m \) is dropped from a height \( 4h \) and after bouncing on the ground only reaches a height of \( h \). (a) Use kinematics to find the speed it hits the ground *and* the speed that it leaves the ground. (b) What is the change in momentum of the ball? (c) The force the ground exerts on the ball as a function of time is shown. What is the impulse in terms of \( F_0 \) and \( t_0 \)? (d) Find the maximum value of the force, \( (F_0) \), in terms of \( h, m, \) and \( t_0 \). --- **Graph Explanation:** The graph represents the force \( F \) exerted by the ground on the ball as a function of time. - On the horizontal axis, time is marked at intervals \( 2t_0, 4t_0, \) and \( 6t_0 \). - On the vertical axis, force is indicated with the maximum value marked as \( F_0 \). The force-time graph forms a trapezoidal shape: - The force increases linearly from zero, reaches a maximum \( F_0 \) at \( 2t_0 \), remains constant until \( 4t_0 \), and then decreases linearly back to zero by \( 6t_0 \).
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