One billiard ball is shot east at 1.9 m/s. A second, identical billiard ball is shot west at 0.90 m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90° and sending it north at 1.36 m/s. Part A What is the speed of the first ball after the collision?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Collision of Billiard Balls

**Problem Statement:**

One billiard ball is shot east at 1.9 m/s. A second, identical billiard ball is shot west at 0.90 m/s. The balls undergo a glancing collision, not a head-on collision, resulting in the second ball being deflected 90° north and moving at 1.36 m/s.

**Question:**

- **Part A:** What is the speed of the first ball after the collision?

**Instructions:**

- Express your answer to two significant figures and include the appropriate units.

**Attempted Solution:**

- The speed of the first ball after the collision was calculated as 1.96 m/s. However, this answer is marked incorrect. Please try again. You have 2 attempts remaining.

**Note for Students:**

When solving problems involving collisions:

1. **Conservation of Momentum:** The total momentum before the collision equals the total momentum after the collision.
2. **Vector Analysis:** Since the collision isn't head-on, consider both x and y components of velocity.
3. **Significant Figures:** Make sure to round your answers correctly according to the problem instructions.

This scenario illustrates the principles of physics involving elastic collisions and vector resolutions in two dimensions.
Transcribed Image Text:### Collision of Billiard Balls **Problem Statement:** One billiard ball is shot east at 1.9 m/s. A second, identical billiard ball is shot west at 0.90 m/s. The balls undergo a glancing collision, not a head-on collision, resulting in the second ball being deflected 90° north and moving at 1.36 m/s. **Question:** - **Part A:** What is the speed of the first ball after the collision? **Instructions:** - Express your answer to two significant figures and include the appropriate units. **Attempted Solution:** - The speed of the first ball after the collision was calculated as 1.96 m/s. However, this answer is marked incorrect. Please try again. You have 2 attempts remaining. **Note for Students:** When solving problems involving collisions: 1. **Conservation of Momentum:** The total momentum before the collision equals the total momentum after the collision. 2. **Vector Analysis:** Since the collision isn't head-on, consider both x and y components of velocity. 3. **Significant Figures:** Make sure to round your answers correctly according to the problem instructions. This scenario illustrates the principles of physics involving elastic collisions and vector resolutions in two dimensions.
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