The machine gun fires 240 bullets per minute. 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

Step-by-step solution

Work done by the gun = Total kinetic energy of the bullets aligned & =n 1 2 m v^2 & =240 1 2 10 10⁻³(600)^2 & =120 10 10⁻³ 600 600 aligned aligned Power of gun & = work done time taken & = 120 10 10⁻³ 600 600 1 ~min & = 120 10 360 60 & =120 10 6 ~W & = 120 10 6 1000 ~kW =7.2 ~kW aligned