A rifle with a weight of 25 N fires a 5.5-g bullet with a speed of 230 m/s. (a) Find the recoil speed of the rifle. m/s (b) If a 650-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. m/s
A rifle with a weight of 25 N fires a 5.5-g bullet with a speed of 230 m/s. (a) Find the recoil speed of the rifle. m/s (b) If a 650-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. m/s
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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![### Problem Statement
A rifle with a weight of **25 N** fires a **5.5 g** bullet with a speed of **230 m/s**.
#### (a) Find the recoil speed of the rifle.
\[ \boxed{ \ \ }\ m/s \]
#### (b) If a **650-N** man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle.
\[ \boxed{ \ \ }\ m/s \]
### Explanation:
The problem involves the concept of conservation of momentum. When the rifle fires the bullet, the momentum gained by the bullet will be equal to the momentum lost by the rifle (or the rifle-man system in part (b)). This is an application of Newton's third law: for every action, there is an equal and opposite reaction.
1. **Recoil Speed of the Rifle:**
- Compute the recoil speed using the conservation of momentum.
2. **Recoil Speed of the Man and Rifle:**
- Consider the combined mass of the man and the rifle while applying the conservation of momentum to find the recoil speed.
Both computations involve setting the momentum before firing (initially zero) equal to the momentum after firing and solving for the unknown speed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84f39a0e-1c16-43ec-bcb3-7f889ca233a2%2Fa15ee5ed-02f0-4f02-88bd-f52f0f2c6a22%2Fm9ha81h_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A rifle with a weight of **25 N** fires a **5.5 g** bullet with a speed of **230 m/s**.
#### (a) Find the recoil speed of the rifle.
\[ \boxed{ \ \ }\ m/s \]
#### (b) If a **650-N** man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle.
\[ \boxed{ \ \ }\ m/s \]
### Explanation:
The problem involves the concept of conservation of momentum. When the rifle fires the bullet, the momentum gained by the bullet will be equal to the momentum lost by the rifle (or the rifle-man system in part (b)). This is an application of Newton's third law: for every action, there is an equal and opposite reaction.
1. **Recoil Speed of the Rifle:**
- Compute the recoil speed using the conservation of momentum.
2. **Recoil Speed of the Man and Rifle:**
- Consider the combined mass of the man and the rifle while applying the conservation of momentum to find the recoil speed.
Both computations involve setting the momentum before firing (initially zero) equal to the momentum after firing and solving for the unknown speed.
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