A 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)`, then find power (in kW) of the gun.

Explanation

Work done by the gun
=Total kinetic energy of the bullets
`=n(1)/(2)mv^(2)=240xx(1)/(2)xx10xx10^(-3)xx(600)^(2)`
`=120xx10xx10^(-3)xx600xx600`
`:. "Power of gun"=("Work done")/("Time taken")=(120xx10xx10^(-3)xx600xx600)/(60)`
`7.2 kW`