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Question

The recoil velocity of a gun of 5 kg, if a bullet of 25 g acquires a velocity of 500 ms−1 after firing from the gun, is .

A
5 ms1
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B
2.5 ms1
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C
2 ms1
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Solution

The correct option is B 2.5 ms1
Let: m1 = 25 g = 0.025 kg, u1 = 0,
v1=500 ms1, m2 = 5 kg, u2 = 0
Let velocity of gun after firing be v2
From law of conservation of momentum, m1u1+m2u2 = m1v1+m2v2
(0.025×0)+(5×0)=(0.025×500)+(5×v2)
0=12.5+(5×v2)
5×v2=12.5
v2=12.55=2.5 ms1

Thus, recoil velocity of gun is equal to 2.5 ms1. Here, the negative(- ve) sign shows that gun moves in the opposite direction of bullet.

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