Momentum and CollisionHardBloom L3

Question

Two identical balls are interconnected with a massless and inextensible thread of length L. The system is in gravity free space with the thread just taut. Each ball is imparted a velocity v, one towards the other ball and the other perpendicular to the first, at t = 0. Then,

Options

A.the thread will become taut at t = (L/v)
B.the thread will become taut at some time t < (L/v).
C.the thread will always remain taut for t > (L/v).
D.the kinetic energy of the system will always remain mv2.

Solution

Sol. The thread will become taught at $t = \frac{L}{v}$ and it will remain taught after that.

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