Recoil Velocity
A gun of mass 4 kg fires a bullet of mass 50 g with a velocity of 400 m/s. What is the recoil velocity of the gun?
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About This Question
- Subject
- physics
- Chapter
- laws of motion
- Topic
- recoil velocity
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
5 m/s
- Starting State: Initial momentum Pi=0 (both gun and bullet at rest).
- Conservation Law: Total final momentum Pf must also be zero.
- mbvb+mgvg=0.
- Substitute Data:
- Mass of bullet mb=50 g=0.05 kg.
- Velocity of bullet vb=400 m/s.
- Mass of gun mg=4 kg.
- Equation: (0.05×400)+(4×vg)=0.
- 20+4vg=0.
- Result: vg=−5 m/s. The recoil velocity magnitude is 5 m/s.
This medium difficulty physics question is from the chapter laws of motion, covering the topic of recoil velocity. It appeared in the 2025 exam.
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