A man wearing a bulletproof vest stands still on roller skates. The total mass is 80 kg. A bullet of mass 20 grams is fired at 400 m/s. It is stopped by the vest and falls to the ground. What is the velocity of the man?

1 Answer

0.1 m/s

Explanation:

m - mass of bullet = 0.02 kg
M - mass of man = 80 kg
u - initial velocity of bullet = 400 m/s
U - initial velocity of man =0 m/s
v - final velocity of bullet = 0 m/s
V - final velocity of man

Using conservation of momentum,

initial momentum = final momentum

mu+MU=mv+MV

0.02400+800=0.020+80V

8=80VV=0.1 m/s

Therefore, the man moves with a velocity of 0.1 m/s