The machine gun fires 240 bullets`//min`. If the mass of each bullet is 10 g and the velocity of the bullet is 600 `ms^(-1)`, the power (in kW) of the gun is

Options

A. 43200
B. 432
C. 72
D. 7.2

Answer

D

Explanation

Power=workdone`//`Time taken
Work done= Total kinetic energy of the bullets
`n=1/2mv^(2)`
n = 240, m = 10 g, v = 600 `ms^(-1)`(Given)
`= 240x1/2 x10 x10^(-3)x(600)^(2)`power = `(120 xx 10 xx360)/(1min) =( 120xx10xx360)/(60)` 7.2 kW