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A 0.175 kg cue ball with an initial speed of 1.35 m/s bounces off the rail in a

ID: 1375080 • Letter: A

Question

A 0.175 kg cue ball with an initial speed of 1.35 m/s bounces off the rail in a game of pool, as shown from overhead in the figure. For x and y axes located as shown, the bounce reverses the y-component of the ball's velocity but does not alter the x-component.

1. What is theta in the figure (deg)?

2. What is the change in the ball's linear momentum in unit-vector notation? (The fact that the ball rolls is not relevant to either question.) What is the change in the x-component of the momentum (kg*m/s)?

3. What is the change in the y-component of the momentum (kg*m/s)?

A 0.175 kg cue ball with an initial speed of 1.35 m/s bounces off the rail in a game of pool, as shown from overhead in the figure. For x and y axes located as shown, the bounce reverses the y-component of the ball's velocity but does not alter the x-component. 1. What is theta in the figure (deg)? 2. What is the change in the ball's linear momentum in unit-vector notation? (The fact that the ball rolls is not relevant to either question.) What is the change in the x-component of the momentum (kg*m/s)? 3. What is the change in the y-component of the momentum (kg*m/s)?

Explanation / Answer

drawing or sketching the incoming velocity {momentum} and outgoing velocity {momentum} shows that the angle of incidence (in) equals angle of bounce (out) = 60.4