A collision between two identi- cal 0.16 kg billiard balls is shown in Fig- ure 6.7. Ball B is initially stationary. 6.8 _0.50 m s (B before after B)? 45° -1 0.30 m s Figure 6.7 (a) What is the change in the x- component of the velocity of ball A? (b) What is the change in the y- component of the velocity of ball A? (c) What is the change in velocity of ball А? (d) What is the change in momentum of ball A?

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### Physics Example: 6.8

A collision between two identical 0.16 kg billiard balls is illustrated in Figure 6.7. Ball B is initially stationary.

#### Diagram Explanation: Figure 6.7

- **Initial State:**
  - Ball A is moving towards Ball B with a velocity of \(0.50 \, \text{m/s}\) in the positive x-direction.
  - Ball B is stationary.

- **After Collision:**
  - Ball A moves downward at a \(45^\circ\) angle with a velocity of \(0.30 \, \text{m/s}\).
  - The velocity of Ball B after the collision is unknown.

The diagram is divided into two parts: 'before' and 'after' with a coordinate system showing the x and y axes.

#### Questions

(a) What is the change in the x-component of the velocity of ball A?

(b) What is the change in the y-component of the velocity of ball A?

(c) What is the change in velocity of ball A?

(d) What is the change in momentum of ball A?
Transcribed Image Text:### Physics Example: 6.8 A collision between two identical 0.16 kg billiard balls is illustrated in Figure 6.7. Ball B is initially stationary. #### Diagram Explanation: Figure 6.7 - **Initial State:** - Ball A is moving towards Ball B with a velocity of \(0.50 \, \text{m/s}\) in the positive x-direction. - Ball B is stationary. - **After Collision:** - Ball A moves downward at a \(45^\circ\) angle with a velocity of \(0.30 \, \text{m/s}\). - The velocity of Ball B after the collision is unknown. The diagram is divided into two parts: 'before' and 'after' with a coordinate system showing the x and y axes. #### Questions (a) What is the change in the x-component of the velocity of ball A? (b) What is the change in the y-component of the velocity of ball A? (c) What is the change in velocity of ball A? (d) What is the change in momentum of ball A?
(e) What is the change in momentum of ball B?

(f) What is the change in velocity of ball B?

(g) What is the change in the x-component of the velocity of ball B?

(h) What is the change in the y-component of the velocity of ball B?

(i) What is the velocity of ball B after the collision?

(j) If the average force each ball exerted on the other had a magnitude of 15 N, how long did the collision last?
Transcribed Image Text:(e) What is the change in momentum of ball B? (f) What is the change in velocity of ball B? (g) What is the change in the x-component of the velocity of ball B? (h) What is the change in the y-component of the velocity of ball B? (i) What is the velocity of ball B after the collision? (j) If the average force each ball exerted on the other had a magnitude of 15 N, how long did the collision last?
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