### Understanding Momentum and Impulse#### Key Equations:1. **Momentum**: \( p = mv \) Where: - \( p \) is momentum, - \( m \) is mass, - \( v \) is velocity.2. **Impulse**: \( J = Ft \) Where: - \( J \) is impulse, - \( F \) is force, - \( t \) is time.3. **Impulse-Momentum Theorem**: \( Ft = m\Delta v \) Where: - \( \Delta v \) is the change in velocity.#### Problem:What is the average momentum of a 50 kg runner who covers 400 m in 50 s?To find the average momentum, we need to follow these steps:1. **Calculate the average velocity** (\( v \)): \[ v = \frac{\text{distance}}{\text{time}} = \frac{400 \, \text{m}}{50 \, \text{s}} = 8 \, \text{m/s} \]2. **Apply the momentum formula**: \[ p = mv = 50 \, \text{kg} \times 8 \, \text{m/s} = 400 \, \text{kg m/s} \]### Answer:The average momentum of the runner is 400 kg·m/s.

Mass of the runner, m=50 kg Distance covered by the runner, d=400 m Time required for the runner,…

Answered: Ft = m Av p = mv J = Ft What is the…

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Ft = m Av p = mv J = Ft What is the average momentum of a 50 kg runner who covers 400 m in 50 s?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Question

### Understanding Momentum and Impulse

#### Key Equations:
1. **Momentum**:
\( p = mv \)
Where:
- \( p \) is momentum,
- \( m \) is mass,
- \( v \) is velocity.

2. **Impulse**:
\( J = Ft \)
Where:
- \( J \) is impulse,
- \( F \) is force,
- \( t \) is time.

3. **Impulse-Momentum Theorem**:
\( Ft = m\Delta v \)
Where:
- \( \Delta v \) is the change in velocity.

#### Problem:
What is the average momentum of a 50 kg runner who covers 400 m in 50 s?

To find the average momentum, we need to follow these steps:

1. **Calculate the average velocity** (\( v \)):
\[
v = \frac{\text{distance}}{\text{time}} = \frac{400 \, \text{m}}{50 \, \text{s}} = 8 \, \text{m/s}
\]

2. **Apply the momentum formula**:
\[
p = mv = 50 \, \text{kg} \times 8 \, \text{m/s} = 400 \, \text{kg m/s}
\]

### Answer:
The average momentum of the runner is 400 kg·m/s.

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