Question

A bullet of mass 60g fired from 5kg gun with the speed of 500m/s find the velocity with gun recoil

Answer 1

what is bullet weight

Answer 2

Answer:

A bullet of mass 60g fired from a 5kg gun with a speed of 500m/s.

The recoil velocity of the gun = 60 m/s

Explanation:

we can express momentum as,

momentum = mass $\times$ velocity

Or  p = mv...(1)

Let,

$m_{1}$ , $m_{2}$  and $v_{1}$ , $v_{2}$ be the mass  and velocity of the bullet and gun respectively

Given,

$m_{1}$ = 0.06 kg

$m_{2}$ = 5 kg

$v_{1}$   = 500 m/s

From equation (1),

The momentum of bullet = $m_{1}v_{1}$

The momentum of gun    = $m_{2}v_{2}$

According to the conservation of linear momentum, if there is no external force, the total momentum of the system will be conserved.

so here,

The momentum of the bullet = momentum of the gun

That is,

$m_{1}v_{1} = m_{2}v_{2}$

$v_{2} = \frac{m_{1}v_{1}}{m_{2} }$

substituting,

$v_{2} = \frac{0.06\times500}{5 }$

    = 60 m/s

Ans:

The recoil velocity of the gun = 60 m/s