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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=v03

The initial kinetic energy at t=0

Ki=12mv20

The final kinetic energy,

Kf=312mv209

Kf=16mv20

Loss of kinetic energy, KfKi=2312mv20

So the loss of kinetic energy in the system is more than 50%.

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