A large raindrop--the type that lands with a definite splat--has a mass of 0.014 g and hits your roof at a speed of 8.1 m/s. Part A What is the magnitude of the impulse delivered to your roof? Express your answer with the appropriate units. J = Part B μA Value Units μA ? If the raindrop comes to rest in 0.37 ms, what is the magnitude of the average force of the impact? Express your answer with the appropriate units. ?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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### Problem Description

A large raindrop—the type that lands with a definite splat—has a mass of 0.014 g and hits your roof at a speed of 8.1 m/s.

### Questions

#### Part A
What is the magnitude of the impulse delivered to your roof?

*Express your answer with the appropriate units.*

- **Equation Box:**
  - \( J = \) [Value] [Units]

#### Part B
If the raindrop comes to rest in 0.37 ms, what is the magnitude of the average force of the impact?

*Express your answer with the appropriate units.*

- **Equation Box:**
  - \( F_{\text{av}} = \) [Value] [Units]

### Explanation of Concepts

- **Impulse (J):** Impulse is the change in momentum of an object when it is acted upon by a force for an interval of time.
  
- **Average Force (\( F_{\text{av}} \)):** The average force is calculated as the impulse applied to an object divided by the time duration over which the force acts.

### Instructions for Problem Solving

1. **Calculate Impulse (J):**
   - Use the formula: \( J = \Delta p \), where \( \Delta p \) is the change in momentum. Momentum (p) is given by \( p = mv \), where m is mass and v is velocity.

2. **Calculate Average Force (\( F_{\text{av}} \)):**
   - Use the formula: \( F_{\text{av}} = \frac{J}{\Delta t} \), where \( \Delta t \) is the time over which the force acts.
Transcribed Image Text:### Problem Description A large raindrop—the type that lands with a definite splat—has a mass of 0.014 g and hits your roof at a speed of 8.1 m/s. ### Questions #### Part A What is the magnitude of the impulse delivered to your roof? *Express your answer with the appropriate units.* - **Equation Box:** - \( J = \) [Value] [Units] #### Part B If the raindrop comes to rest in 0.37 ms, what is the magnitude of the average force of the impact? *Express your answer with the appropriate units.* - **Equation Box:** - \( F_{\text{av}} = \) [Value] [Units] ### Explanation of Concepts - **Impulse (J):** Impulse is the change in momentum of an object when it is acted upon by a force for an interval of time. - **Average Force (\( F_{\text{av}} \)):** The average force is calculated as the impulse applied to an object divided by the time duration over which the force acts. ### Instructions for Problem Solving 1. **Calculate Impulse (J):** - Use the formula: \( J = \Delta p \), where \( \Delta p \) is the change in momentum. Momentum (p) is given by \( p = mv \), where m is mass and v is velocity. 2. **Calculate Average Force (\( F_{\text{av}} \)):** - Use the formula: \( F_{\text{av}} = \frac{J}{\Delta t} \), where \( \Delta t \) is the time over which the force acts.
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