28. IP In a tennis match, a player wins a point by hitting the ball sharply to the ground on the opponent's side of the net. (a) If the ball bounces upward from the ground with a speed of 16 m/s, and is caught by a fan in the stands with a speed of 12 m/s, how high above the court is the fan? Ignore air resistance. (b) Explain why it is not necessary to know the mass of the tennis 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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**Question 28:**

**Topic: Projectile Motion in Tennis**

In a tennis match, a player wins a point by hitting the ball sharply to the ground on the opponent's side of the net.

(a) If the ball bounces upward from the ground with a speed of 16 m/s, and is caught by a fan in the stands with a speed of 12 m/s, how high above the court is the fan? Ignore air resistance.

(b) Explain why it is not necessary to know the mass of the tennis ball. 

**Analysis:**

This problem involves understanding the principles of physics, specifically energy conservation. The speed of the ball changes due to gravitational potential energy and kinetic energy interchange. We can use these principles to find how high the fan is seated without needing the mass of the ball, as mass cancels out in the energy equations.
Transcribed Image Text:**Question 28:** **Topic: Projectile Motion in Tennis** In a tennis match, a player wins a point by hitting the ball sharply to the ground on the opponent's side of the net. (a) If the ball bounces upward from the ground with a speed of 16 m/s, and is caught by a fan in the stands with a speed of 12 m/s, how high above the court is the fan? Ignore air resistance. (b) Explain why it is not necessary to know the mass of the tennis ball. **Analysis:** This problem involves understanding the principles of physics, specifically energy conservation. The speed of the ball changes due to gravitational potential energy and kinetic energy interchange. We can use these principles to find how high the fan is seated without needing the mass of the ball, as mass cancels out in the energy equations.
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