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Question

# A bullet of 25 g acquires the velocity of 500 m sâˆ’1 after firing from the gun. Find the recoil velocity of a gun having a mass equal to 5 kg.

A
25 m s1
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B
2.5 m s1
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C
10 m s1
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D
5 m s1
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Solution

## The correct option is B 2.5 m s−1Given: Mass of bullet, (m1)=25 g=0.025 kg Velocity of bullet before firing, (u1)=0 Velocity of bullet after firing, (v1)=500 m s−1 Mass of gun, (m1)=5 kg Velocity of gun before firing, (u2)=0 Velocity of gun after firing = v2 We know that, m1u1+m2u2=m1v1+m2v2 0.025×0+5×0 = 0.025×500 + 5×v2 0=12.5+5×v2 v2=−12.55=−2.5 m s−1 Thus, recoil velocity of gun is equal to 2.5 m s−1. Here, the negative sign shows that gun moves in the opposite direction of that of the bullet.

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