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Question

If collision between the balls is completely inelastic, the
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A
there is no loss of kinetic energy of the system
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B
entire kinetic energy of the system is lost
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C
kinetic energy loss in the system is less than 50%
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D
kinetic energy loss in the system is more than 50%
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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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