Question
A machine gun fires 300 bullets per min if the mass of each bullet is 10 ~g and the velocity of the bullets is 600 ~ms ^ -1 , the power (in kW ) of the gun is
A machine gun fires 300 bullets per min if the mass of each bullet is 10 ~g and the velocity of the bullets is 600 ~ms ^ -1 , the power (in kW ) of the gun is
B. 9
Work done by the gun = total kinetic energy of the bullets aligned & =n 1 2 m v^2=300 1 2 10 10^ -3 (600)^2 \\ & =150 10 10^ -3 600 600 aligned aligned Power of gun & = work done Time taken \\ & = 150 10 10^ -3 600 600 60 ~s \\ & =9 ~kW ( 1 minute =60 seconds ) aligned
Related: Physics — Work Power Energy · All PYQ Banks