A machine gun takes 10 s to fire 30 bullets with a velocity of 500 m. Find the power developed by the gun when each bullet has a mass of 100 g.
Given, mass of 30 bullets = 30 x 100 = 3 kg Velocity, v = 500 m, time, t = 10 s
Power developed by the gun, P = w/t
[Here, work done by gun will be equal to the kinetic energy of all the bullets.]
P=KE/t = 1/2 m ${{v}^{2}}$ / t = m ${{v}^{2}}$ / t
= 3 x 500 x 500 / 2 x 10 = 37500 W