A bullet of mass 5 g travels with a speed of 500m/s. If it penetrates a fixed target which offers a constant resistive force of 1000N to the motion of the bullet, find (a) the initial kinetic energy of the bullet (b) the distance through which the bullet has penetrated.

Answer

A, B

Explanation

Here, `m = 5g =0.005kg, upsilon =500m//s, F =1000N`
(a) `E_k = (1)/(2)mupsilon^2 = (1)/(2) = (1)/(2)(0.005kg)(500m//s)^2 =625J`
(b) As `W= E =F_s,s =(E_k)/(F) = (625J)/(1000N) = 0.625m`