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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![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb95dca4-f6c7-46fa-bbcb-5cdbe2ca0e09%2F9fa68acc-4c55-46c3-a8de-1c7e1966aab0%2Fhae8ha_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### 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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