Question

A 5 kg rifle fires a 10g bullet at a velocity of 500m/s find the recoil velocity of rifle?

Answer 1

Use momentum conservation !

Total initial momentum = Total final momentum
Since, Initially both gun and bullet is at rest, their initial momentum is zero.

Let the recoil velocity be V.

0 = 5V - (10/1000)×500
> 5V = 5
> V = 1 m/s

Answer 2

The recoil velocity of rifle is 1 m/s.

Explanation:

Given that,

Mass of the rifle, $m_1=5\ kg$

Mass of the bullet, $m_2=10\ g = 0.01\ kg$

Velocity of the bullet, $v_2=500\ m/s$

We need to find the recoil velocity of rifle. Here, the momentum of the bullet rifle system remains constant. Using the conservation of linear momentum we get :

$m_1v_1=m_2v_2\\\\5v_1=0.01\times 500\\\\5v_1=5\\\\v_1=1\ m/s$

So, the recoil velocity of rifle is 1 m/s. Hence, this is the required solution.

Learn more,

Conservation of momentum

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