1. A ping pong ball (ball #1, mass of 2g) is held just above a tennis ball (ball #2, mass of 57g) with their centers vertically aligned. When the balls are released, they fall through a vertical distance of 1.27 meters. a) Prove that each ball is traveling at 5.00 m/s just before it hits the ground. The tennis ball (#2) hits the ground and bounces elastically off of it before the ping pong ball (#1) actually hits #2. Since the ground is very large, it doesn't move, which means that the velocity of #2 just reverses; it begins moving upward with velocity +5 m/s after it hits the ground. However, #1 has just fallen its own 1.27 meters, so it is still moving downward with velocity -5 m/s. Thus v₁ = -5 m/s and v2i = +5 m/s b) Determine the velocities of each ball just after they collide elastically. 45M c) How high will each ball rise after this collision? (Use energy or kinematics, whichever you prefer.) d) Explain briefly why the ping pong ball is able to go higher than its original 1.27 meters. AS YOU e) Confirm that energy is conserved from just after the drop until they rise to the highest point on their bounces. Hint: at both the beginning and end, each has only pure PE. ► H
1. A ping pong ball (ball #1, mass of 2g) is held just above a tennis ball (ball #2, mass of 57g) with their centers vertically aligned. When the balls are released, they fall through a vertical distance of 1.27 meters. a) Prove that each ball is traveling at 5.00 m/s just before it hits the ground. The tennis ball (#2) hits the ground and bounces elastically off of it before the ping pong ball (#1) actually hits #2. Since the ground is very large, it doesn't move, which means that the velocity of #2 just reverses; it begins moving upward with velocity +5 m/s after it hits the ground. However, #1 has just fallen its own 1.27 meters, so it is still moving downward with velocity -5 m/s. Thus v₁ = -5 m/s and v2i = +5 m/s b) Determine the velocities of each ball just after they collide elastically. 45M c) How high will each ball rise after this collision? (Use energy or kinematics, whichever you prefer.) d) Explain briefly why the ping pong ball is able to go higher than its original 1.27 meters. AS YOU e) Confirm that energy is conserved from just after the drop until they rise to the highest point on their bounces. Hint: at both the beginning and end, each has only pure PE. ► H
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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Can you help me when this question . It is one question with three parts , I am struggling to solve
Transcribed Image Text:### Workshop #5 - Collisions
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**1. A ping pong ball (ball #1, mass of 2g) is held just above a tennis ball (ball #2, mass of 57g) with their centers vertically aligned. When the balls are released, they fall through a vertical distance of 1.27 meters.**
**a) Prove that each ball is traveling at 5.00 m/s just before it hits the ground.**
*The tennis ball (#2) hits the ground and bounces elastically off of it before the ping pong ball (#1) actually hits #2. Since the ground is very large, it doesn’t move, which means that the velocity of #2 just reverses; it begins moving upward with velocity +5 m/s after it hits the ground. However, #1 has just fallen its own 1.27 meters, so it is still moving downward with velocity -5 m/s. Thus v₁i = -5 m/s and v₂i = +5 m/s*
**b) Determine the velocities of each ball just after they collide elastically.**
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**c) How high will each ball rise after this collision? (Use energy or kinematics, whichever you prefer.)**
---
**d) Explain briefly why the ping pong ball is able to go higher than its original 1.27 meters.**
---
**e) Confirm that energy is conserved from just after the drop until they rise to the highest point on their bounces. Hint: at both the beginning and end, each has only pure PE.**
---
### Diagrams and Explanation
*There are no graphs or diagrams included in this text. It contains descriptions of a physics problem involving the elastic collision of a ping pong ball and a tennis ball.*
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