a machine gun fires a bullet of mass 4kg with velocity of 12m/s.the person holding it can apply a maximum force of 144n on the gun.what is the maximum number of bullets that can be fired per second
Mass of the bullet is, m = 4 kg
Velocity of the bullet, u = 12 m/s
Let, ānā be the number of bullets fired per second.
So, momentum gained by the bullets per second is = nmu = (n)(4)(12) = 48n
This is also the rate of change of momentum of the fired bullets.
We know, force = rate of change of momentum
So, 144 = 48n
=> n = 3 bullets/second