Question

Recoil of a rifle is –0.4ms-1 having mass 5 kg. What is the velocity of the bullet, if mass of the bullet is 20 g?

Answer 1

Explanation:

Recoil Velocity of the Gun=-0.4m/s

Velocity of the bullet=?

Mass of the bullet=0.02kg

Mass of the Gun=5kg

By conservation of Linear MOMENTUM of System

Initial MOMENTUM= FINAL MOMENTUM

$0 = - 0.4 \times 5 + 0.02 \times v \\ \\ 0.02v = 2 \\ \\ v = \frac{2 }{0.02} = 100 {ms}^{ - 1}$

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Answer 2

The velocity of the bullet is 100 m/s .

Given :

Velocity of rifle , $v_r=0.4\ m/s \ .$

Mass of rifle , $m_r=5\ kg\ .$

Mass of the bullet , $m_b=20\ gm = 0.02\ kg \ .$

We need to find the velocity of bullet . Let velocity be $v_b$ .

Therefore, by conservation of momentum ( since no external force is exerting)

$m_rv_r=m_bv_b\\\\5\times 0.4=0.02\times v_b\\\\v_b=\dfrac{0.02}{5\times 0.4}\\\\v_b=100\ m/s\ .$

Hence , this is the required solution .

Learn More :

Conservation Of Momentum

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