A body of mass m moving with velocity v makes a head-on collision with another body of mass 2 m which is initially at rest. The loss of kinetic energy of the colliding body (mass m ) is

Options

A. `(1)/(2)` of its initial kinetic energy
B. `(1)/(9)` of its initial kinetic energy
C. `(8)/(9)` of its initial kinetic energy
D. `(1)/(4)` of its initial kinetic energy

Answer

C

Explanation

Fraction of energy transferred `=(4xx2)/((1+2)^(2))=(8)/(9)`