Question

A machine fires 360bullets per minute and each bullet travels with a velocity of 600m/s. If the mass of the bullet is 5gm find the power of the machine gun

Answer 1

Power=W/t where wok done= W=F*d=m*a*d

360 bullets are fired in one minute →→ time taken for firing 1 bullet t=60/360=1/6 sec

now,v=u+at

u=0 as buller starts from rest and v=600 km/hr=166.6 m/s

166/6=0+a*1/6

a=1000 m/s^2

now s=ut+1/2at^2

=1/2*1000*1/6*1/6

=13.88

p=(10g*1000*13.8)/1/6=828000=828*10^2W