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Billiard ball A of mass 1.80 kg is given a velocity 6.00 m/s in +x direction as shown in the figure. Ball A strikes ball B of the same mass, which is at rest, such that after the impact they move at angles ⒸA = 63.0° and Og respectively. The velocity of ball A after impact is 4.30 m/s in the direction indicated in the figure. A B 0B

Billiard ball A of mass 1.80 kg is given a velocity 6.00 m/s in +x direction as shown in the figure. Ball A strikes ball B of the same mass, which is at rest, such that after the impact they move at angles ⒸA = 63.0° and Og respectively. The velocity of ball A after impact is 4.30 m/s in the direction indicated in the figure. A B 0B

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
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What is the velocity of ball B after impact in y-direction?

 

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### Collision Between Two Billiard Balls **Scenario:** Billiard ball A of mass 1.80 kg is given a velocity of 6.00 m/s in the positive x-direction as shown in the figure. Ball A strikes ball B, which has the same mass and is initially at rest, resulting in the two balls moving at angles \(\theta_A = 63.0^\circ\) and \(\theta_B\) respectively after impact. The velocity of ball A after the impact is 4.30 m/s in the direction indicated in the figure. **Diagram Explanation:** The diagram shows two billiard balls labeled A (yellow) and B (blue). - **Before Impact:** Ball A is moving in the +x direction with a velocity of 6.00 m/s towards ball B, which is at rest. - **After Impact:** Ball A moves at an angle \(\theta_A = 63.0^\circ\) relative to the original direction, with a velocity of 4.30 m/s. Ball B moves at an unknown angle \(\theta_B\) relative to the x-axis. **Axes Information:** - **Y-axis:** Represented vertically (upward direction). - **X-axis:** Represented horizontally to the right (positive direction). The diagram illustrates the directions of the velocities and angles at which the balls move after the collision. This scenario provides a practical example of the principles of conservation of momentum and energy in two-dimensional collisions.
Transcribed Image Text:### Collision Between Two Billiard Balls **Scenario:** Billiard ball A of mass 1.80 kg is given a velocity of 6.00 m/s in the positive x-direction as shown in the figure. Ball A strikes ball B, which has the same mass and is initially at rest, resulting in the two balls moving at angles \(\theta_A = 63.0^\circ\) and \(\theta_B\) respectively after impact. The velocity of ball A after the impact is 4.30 m/s in the direction indicated in the figure. **Diagram Explanation:** The diagram shows two billiard balls labeled A (yellow) and B (blue). - **Before Impact:** Ball A is moving in the +x direction with a velocity of 6.00 m/s towards ball B, which is at rest. - **After Impact:** Ball A moves at an angle \(\theta_A = 63.0^\circ\) relative to the original direction, with a velocity of 4.30 m/s. Ball B moves at an unknown angle \(\theta_B\) relative to the x-axis. **Axes Information:** - **Y-axis:** Represented vertically (upward direction). - **X-axis:** Represented horizontally to the right (positive direction). The diagram illustrates the directions of the velocities and angles at which the balls move after the collision. This scenario provides a practical example of the principles of conservation of momentum and energy in two-dimensional collisions.
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