Question

a bullet of mass 0.025kg is fired from a gun of mass 5 kg with a speed 500m/s. calculate the recoil velocity of a gun?​

Answer 1

Explanation:

Question 1: Find the recoil velocity of a gun having mass equal to 5 kg, if a bullet of 25gm acquires the velocity of 500m/s after firing from the gun. Velocity of gun after firing = ?

Thus, recoil velocity of gun is equal to 2.5 m/s.

Answer 2

Answer:

a bullet of mass 0.025kg is fired from a gun of mass 5 kg with a speed of 500m/s.  The recoil velocity of a gun is 2.5 m/s.

Explanation:

we know,

momentum = mass $\times$ velocity

that is, 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,

$m_{1}$ = 0.025 kg

$m_{2}$ = 5 kg

$v_{1}$   = 500 m/s

Using equation (1),

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

The momentum of gun    =  $m_{2}v_{2}$

we use the conservation of linear momentum to find out the recoil velocity of the gun.

According to the conservation of momentum,

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,

$v_{2} = \frac{0.025\times500}{5 }$

    = 2.5 m/s

Ans:

The recoil velocity of the gun = 2.5 m/s