2. Michael rolls a 12.0 kg bowling ball down the alley at the final pin in an attempt to win the league championship. The ball Michael throws hits the pin head-on with a velocity of 10.0 m/s! Victory! The 2.0 kg pin acquires a forward velocity of 16.0 m/s. What is the new velocity of the bowling ball? (The answer to this problem is 7.33 m/s). Ball Pin

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem:**

Michael rolls a 12.0 kg bowling ball down the alley at the final pin in an attempt to win the league championship. The ball Michael throws hits the pin head-on with a velocity of 10.0 m/s! Victory! The 2.0 kg pin acquires a forward velocity of 16.0 m/s. What is the new velocity of the bowling ball?

(The answer to this problem is 7.33 m/s.)

**Analysis:**

- **Initial Situation:**
  - Bowling ball mass = 12.0 kg
  - Bowling ball initial velocity = 10.0 m/s
  - Pin mass = 2.0 kg
  - Pin initial velocity = 0 m/s (pin is stationary)
- **Final Situation:**
  - Pin final velocity = 16.0 m/s
  - New velocity of the bowling ball = ?

**Diagram:**

The problem involves one-dimensional motion and conservation of momentum. The table below seems to organize the initial and final conditions for the ball and pin:

```
Ball | Pin
-----|-----
     |     
     |     
```

(Note: The specific entries in the table are left blank in the image and are not directly needed to solve the problem, as the solution involves calculations based on given values and principles of conservation.)
Transcribed Image Text:**Problem:** Michael rolls a 12.0 kg bowling ball down the alley at the final pin in an attempt to win the league championship. The ball Michael throws hits the pin head-on with a velocity of 10.0 m/s! Victory! The 2.0 kg pin acquires a forward velocity of 16.0 m/s. What is the new velocity of the bowling ball? (The answer to this problem is 7.33 m/s.) **Analysis:** - **Initial Situation:** - Bowling ball mass = 12.0 kg - Bowling ball initial velocity = 10.0 m/s - Pin mass = 2.0 kg - Pin initial velocity = 0 m/s (pin is stationary) - **Final Situation:** - Pin final velocity = 16.0 m/s - New velocity of the bowling ball = ? **Diagram:** The problem involves one-dimensional motion and conservation of momentum. The table below seems to organize the initial and final conditions for the ball and pin: ``` Ball | Pin -----|----- | | ``` (Note: The specific entries in the table are left blank in the image and are not directly needed to solve the problem, as the solution involves calculations based on given values and principles of conservation.)
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