A 150g bullet is fired from 15 kg gun with a speed of 1500 m/s.What is the speed of the recoil of the gun?
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The recoil speed of the gun is 15m/s.
Explanation:
- We will solve this question through the concept of conservation of linear momentum as no external force is acting on the system.It is given as,
(1)
Where,
=initial momentum
=final momentum
From the question we have,
The mass of the bullet(m)=150g=150×10⁻³kg
The mass of the gun(M)=15 kg
Speed of the bullet(u)=1500m/s
We can also write equation (1) as,
(2)
By entering the necessary elements in equation (2), we obtain;
Hence, the recoil speed of the gun is 15m/s.
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