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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. 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. B 0B

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 37P: The figure below shows a bullet of mass 200 g traveling horizontally towards the east with speed 400...
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A.) What is the velocity of ball B after impact in x-direction?

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

C.) What is the momentum of ball B after impact in the direction shown?

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**Collision Analysis of Billiard Balls** **Problem Statement** A billiard ball A with a mass of 1.80 kg is given an initial velocity of 6.00 m/s in the positive x-direction, as illustrated in the figure. Ball A strikes ball B, which has the same mass and is initially at rest. After the collision, both balls move at specific angles. The angles are: - Ball A (θₐ) = 63.0° - Ball B (θᵦ) The velocity of ball A after the impact is 4.30 m/s, as indicated in the figure. **Diagram Explanation** The diagram consists of the following elements: - **Coordinate Axes:** It includes the x-axis and y-axis representing the horizontal and vertical directions, respectively. - **Billiard Balls:** - Ball A (represented by a yellow circle labeled "A"). - Ball B (represented by a blue circle labeled "B"), which was initially stationary at the origin. - **Vectors:** - A vector indicating the initial velocity of Ball A moving along the positive x-axis. - Post-collision trajectories for both balls: - Ball A's trajectory after collision, moving at an angle θₐ (63.0°) to the y-axis. - Ball B's trajectory after collision, moving in the opposite direction at an angle θᵦ. **Key Variables:** - Initial velocity of Ball A (v₀ₐ) = 6.00 m/s - Mass of Ball A (mₐ) = 1.80 kg - Mass of Ball B (mᵦ) = 1.80 kg - Post-impact velocity of Ball A = 4.30 m/s - Angle θₐ = 63.0° - Angle θᵦ This setup provides critical data for analyzing the conservation of momentum and energy during the collision, often used to solve for unknowns such as the velocity and angle of Ball B post-impact.
Transcribed Image Text:**Collision Analysis of Billiard Balls** **Problem Statement** A billiard ball A with a mass of 1.80 kg is given an initial velocity of 6.00 m/s in the positive x-direction, as illustrated in the figure. Ball A strikes ball B, which has the same mass and is initially at rest. After the collision, both balls move at specific angles. The angles are: - Ball A (θₐ) = 63.0° - Ball B (θᵦ) The velocity of ball A after the impact is 4.30 m/s, as indicated in the figure. **Diagram Explanation** The diagram consists of the following elements: - **Coordinate Axes:** It includes the x-axis and y-axis representing the horizontal and vertical directions, respectively. - **Billiard Balls:** - Ball A (represented by a yellow circle labeled "A"). - Ball B (represented by a blue circle labeled "B"), which was initially stationary at the origin. - **Vectors:** - A vector indicating the initial velocity of Ball A moving along the positive x-axis. - Post-collision trajectories for both balls: - Ball A's trajectory after collision, moving at an angle θₐ (63.0°) to the y-axis. - Ball B's trajectory after collision, moving in the opposite direction at an angle θᵦ. **Key Variables:** - Initial velocity of Ball A (v₀ₐ) = 6.00 m/s - Mass of Ball A (mₐ) = 1.80 kg - Mass of Ball B (mᵦ) = 1.80 kg - Post-impact velocity of Ball A = 4.30 m/s - Angle θₐ = 63.0° - Angle θᵦ This setup provides critical data for analyzing the conservation of momentum and energy during the collision, often used to solve for unknowns such as the velocity and angle of Ball B post-impact.
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