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Three spheres, each of mass m, can slide...

Three spheres, each of mass `m`, can slide freely on a frictionless, horizontal surface. Spheres `A` and `B` are attached to an inextensible, inelastic cord of length `"l"` and are at rest in the position shown where sphere `B` is struck by sphere `C` which is moving to the right with a velocity `v_(0)`. Knowing that the cord is taut where sphere `B` is struck by sphere `C` and assuming "Head on" inelastic impact between `B` and `C`, we can 't conserve kinetic energy of entire system.
If velocity of `C` immediately after collision becomes `(v_(0))/(2)` in the initial direction of motion, the impulse due to string on sphere `A` is

A

`(mv_(0))/(8)`

B

`(mv_(0))/(2)`

C

`(sqrt(3)mv_(0))/(4)`

D

None of the above

Text Solution

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Hint : Use impulse-momentum theorem along the rope and conservation of momentum perpendicular to the rope.
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