An object of mass `40kg` and having velocity `4 m//s` collides with another object of mass `60 kg` having velocity `2 m//s` . The loss of energy when the collision is perfectly inelastic is

Options

A. 440 J
B. 392 J
C. 48 J
D. 144 J

Answer

C

Explanation

Loss in kinetic energy
`=(1)/(2) (m_(1) m_(2) (u_(1)-u_(2))^(2))/(m_(1) + m_(2)) = (1)/(2) ((40 xx 60)/(40+ 60)) (-4)^(2)= 48J`