Question

Calculate the recoil velocity of a gun of mass 5kg which fires a bullet of mass 50g with velocity 500 m/s. calculate the impulse given to the bullet
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Answer 1

Given that,

Mass of gun = 5 kg

Mass of bullet = 50 g

Velocity = 500 m/s

We need to calculate the recoil velocity of gun

Using conservation of momentum

$m_{g}\times(-u_{g})=m_{b}v_{b}$

$u_{g}=-\dfrac{m_{b}v_{b}}{m_{g}}$

Put the value into the formula

$u_{g}=-\dfrac{50\times10^{-3}\times500}{5}$

$u_{g}=-5\ m/s$

The recoil velocity of gun is 5 m/s.

We need to calculate the impulse given to the bullet

Using formula of impulse

$I=mv-mu$

$I=m(v-u)$

Put the value into the formula

$I=50\times10^{-3}(500-0)$

$I=25\ kg m/s$

Hence, The recoil velocity of gun is 5 m/s.

The impulse of the bullet is 25 kg m/s.