In the arrangement of the figure, billiard ball 1 moving at a speed of 1.87 m/s undergoes a glancing collision with identical billiard ball 2 that is at rest. After the collision, ball 2 moves at speed 1.40 m/s, at an angle of 02 = 41.4°. What are (a) the magnitude and (b) the direction (angle 01) of the velocity of ball 1 after the collision? (a) Number i Units (b) Number i Units
In the arrangement of the figure, billiard ball 1 moving at a speed of 1.87 m/s undergoes a glancing collision with identical billiard ball 2 that is at rest. After the collision, ball 2 moves at speed 1.40 m/s, at an angle of 02 = 41.4°. What are (a) the magnitude and (b) the direction (angle 01) of the velocity of ball 1 after the collision? (a) Number i Units (b) Number i Units
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 Description:**
In the arrangement depicted in the figure, billiard ball 1, moving at a speed of 1.87 m/s, undergoes a glancing collision with an identical billiard ball 2, which is initially at rest. After the collision, ball 2 moves at a speed of 1.40 m/s at an angle of θ₂ = 41.4°. Determine:
(a) The magnitude of the velocity of ball 1 after the collision.
(b) The direction (angle θ₁) of the velocity of ball 1 after the collision.
**Diagram Explanation:**
The diagram shows a coordinate system with axes labeled as x and y. The initial velocity vector of ball 1 is shown as \( \mathbf{v}_{1i} \) pointing along the positive x-axis. After the collision:
- Ball 2 has velocity \( \mathbf{v}_{2f} \) at an angle θ₂ = 41.4° with respect to the x-axis.
- Ball 1 has velocity \( \mathbf{v}_{1f} \) at an angle θ₁ with respect to the x-axis, pointing below the x-axis.
**Solution Inputs:**
- (a) Magnitude: [Input Field] Units: [Dropdown Menu]
- (b) Angle: [Input Field] Units: [Dropdown Menu]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa19899d9-b085-44d6-ac05-6544bc515fab%2F9a5fb7f7-8f22-4c70-b4c1-acc948b25a6c%2Fuuslkzt_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
In the arrangement depicted in the figure, billiard ball 1, moving at a speed of 1.87 m/s, undergoes a glancing collision with an identical billiard ball 2, which is initially at rest. After the collision, ball 2 moves at a speed of 1.40 m/s at an angle of θ₂ = 41.4°. Determine:
(a) The magnitude of the velocity of ball 1 after the collision.
(b) The direction (angle θ₁) of the velocity of ball 1 after the collision.
**Diagram Explanation:**
The diagram shows a coordinate system with axes labeled as x and y. The initial velocity vector of ball 1 is shown as \( \mathbf{v}_{1i} \) pointing along the positive x-axis. After the collision:
- Ball 2 has velocity \( \mathbf{v}_{2f} \) at an angle θ₂ = 41.4° with respect to the x-axis.
- Ball 1 has velocity \( \mathbf{v}_{1f} \) at an angle θ₁ with respect to the x-axis, pointing below the x-axis.
**Solution Inputs:**
- (a) Magnitude: [Input Field] Units: [Dropdown Menu]
- (b) Angle: [Input Field] Units: [Dropdown Menu]
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