Question

A bullet of mass 30 g, and moving with a velocity x hits a wooden target with a force of 187.5 N. If the bullet penetrates 80 cm, find the value of x.

Answer 1

Answer:

Here,

m = 0.03 kg

F = 187.5 N

s = 0.80 m

v = x

x = ?

KE of the bullet = ½ mx^2

= ½ ×0.03×x^2

Work done by the bullet on the wood = Fs

= 187.5×0.80

By conservation of energy

KE = Work done

=> ½ ×0.03×x^2 = 187.5×0.80

=> x = √{(187.5×0.80×2)/0.03}

=> x = 100 ms^-1