Question

# If collision between the balls is completely inelastic, the

A
there is no loss of kinetic energy of the system
B
entire kinetic energy of the system is lost
C
kinetic energy loss in the system is less than 50%
D
kinetic energy loss in the system is more than 50%

Solution

## The correct option is D kinetic energy loss in the system is more than 50%D. kinetic energy loss in the system is more than 50%.The velocity of ball A, B and C is the same, after the collision$$v=\dfrac{v_0}{3}$$The initial kinetic energy at $$t=0$$$$K_i=\dfrac{1}{2}mv_0^2$$The final kinetic energy,$$K_f=3\dfrac{1}{2}m\dfrac{v_0^2}{9}$$$$K_f=\dfrac{1}{6}mv_0^2$$Loss of kinetic energy, $$K_f-K_i=\dfrac{2}{3}\dfrac{1}{2}mv_0^2$$So the loss of kinetic energy in the system is more than 50%.Physics

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