The figure gives an overhead view of the path taken by a 0.162 kg cue ball as it bounces from a rail of a pool table. The ball's initial speed is 2.82 m/s, and the angle 8₁ is 62.2°. The bounce reverses the y component of the ball's velocity but does not alter the x component. What are (a) angle 82 and (b) the magnitude of the change in the ball's linear momentum? (The fact that the ball rolls is irrelevant to the problem.) (a) Number (b) Number i Units Units 11

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 Statement:

The figure gives an overhead view of the path taken by a 0.162 kg cue ball as it bounces from a rail of a pool table. The ball’s initial speed is 2.82 m/s, and the angle θ1 is 62.2°. The bounce reverses the y component of the ball’s velocity but does not alter the x component. What are (a) angle θ2 and (b) the magnitude of the change in the ball’s linear momentum? (The fact that the ball rolls is irrelevant to the problem.)

### Diagram Description:

The diagram illustrates the path of the cue ball as seen from above. The initial path of the ball forms an angle θ1 with the x-axis and, after bouncing off the rail, the path forms an angle θ2 with the same axis.

### Required Information:

**(a)** 
- Input Field: Number
- Units: [Unit Selection Dropdown]

**(b)**
- Input Field: Number
- Units: [Unit Selection Dropdown]

### Understanding the Diagram:

- The diagram depicts two angles, θ1 and θ2, relative to the x-axis.
- The initial path forms an angle θ1 = 62.2° with the x-axis.
- After bouncing, the path forms an angle θ2 with the x-axis.

In this problem, you are required to determine:
1. The value of angle θ2.
2. The magnitude of the change in the ball's linear momentum.

---

**Note for Learners:** The problem specifies that the y component of velocity is reversed, while the x component remains unchanged. Use principles of reflection and momentum change due to collision for calculations.
Transcribed Image Text:### Problem Statement: The figure gives an overhead view of the path taken by a 0.162 kg cue ball as it bounces from a rail of a pool table. The ball’s initial speed is 2.82 m/s, and the angle θ1 is 62.2°. The bounce reverses the y component of the ball’s velocity but does not alter the x component. What are (a) angle θ2 and (b) the magnitude of the change in the ball’s linear momentum? (The fact that the ball rolls is irrelevant to the problem.) ### Diagram Description: The diagram illustrates the path of the cue ball as seen from above. The initial path of the ball forms an angle θ1 with the x-axis and, after bouncing off the rail, the path forms an angle θ2 with the same axis. ### Required Information: **(a)** - Input Field: Number - Units: [Unit Selection Dropdown] **(b)** - Input Field: Number - Units: [Unit Selection Dropdown] ### Understanding the Diagram: - The diagram depicts two angles, θ1 and θ2, relative to the x-axis. - The initial path forms an angle θ1 = 62.2° with the x-axis. - After bouncing, the path forms an angle θ2 with the x-axis. In this problem, you are required to determine: 1. The value of angle θ2. 2. The magnitude of the change in the ball's linear momentum. --- **Note for Learners:** The problem specifies that the y component of velocity is reversed, while the x component remains unchanged. Use principles of reflection and momentum change due to collision for calculations.
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