A bullet of mass 10 g is fired with an initial velocity of 20 m/s from a rifle of mass 4 kg. calculate the initial recoil velocity of the rifle ?
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Answer:
The initial recoil velocity of the rifle is 0.05 m/s.
Explanation:
Given data:
- Mass of bullet (m1) = 10 gm
- Initial velocity (v) = 20 m/s
- Mass of rifle (m2) = 4 kg
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To find:
Initial velocity of the rifle.
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Solution:
According to the law of conversation of momentum,
p = mv
where p is the momentum, m is mass and v is the velocity.
By substituting the values, we get
⟹ 0 = 0.01 × 20 + 4 × v
⟹ 0 = 0.2 + 4v
⟹ v = –0.05 m/s.
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∴ Initial velocity of the rifle (v) = –0.05 m/s.
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