Question

a bullet of mass 100g is fired from a gun of mass 20kg with velocity of 100 m per second calculate the velocity of recoil gun
plz send m ans.​

Answer 1

AnswEr :

• The recoil velocity of gun is -0.5 m/s

Given :

• Mass of bullet = 100 g = 0.1 kg

• Mass of gun = 20 kg

• Velocity = 100 m/s

To Find :

• Recoil velocity of the gun = ?

Concept Used :

To calculate the recoil velocity of gun we need to know the concept of conservation of momentum!!

• Conservation of Momentum = Mass × Velocity

Solution :

Hence we conclude that,

Momentum(before gun was supposed to be fired) = Momentum of gun + Momentum of bullet

Let us assume the recoil velocity of gun as v m/s !!

By applying law of conservation of momentum,

★ Conservation of Momentum = Mass × Velocity

➝ 20 + 0.1 kg × 0= 20 × v + 0.1 ×100

➝ 0 = 20v+ 10

➝ 0 - 10 = 20v

➝ v = -10/20

➝ v = -0.5 m/s

$\therefore$ The velocity of recoil is -0.5 m/s.

Here, the minus sign indicates that the gun recoils in the opposite direction to the direction that of the bullet!!

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More to know :

• Recoil velocity is the backward velocity .

• It is experienced by a shooter when he shoots a bullet.

• Hence, it is the result of conservation of momentum .

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