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A block A is placed over a long rough pl...

A block `A` is placed over a long rough plank `B` of same mass shown below. The plank is placed over a smooth horizontal surface. At time `t=0`, block `A` is given a velocity `v_(o)` in horizontal direction. Let `v_(1)` and `v_(2)` be the velocity of `A & B` at time `'t'`. Then choose the correct graph between `v_(1) or v_(2)` and `t`:

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
Friction force between `A` and `B (=mumg)` will accelerate `B` and retard `A` till slipping is stopped between the two and since mass of both are equal acceleration of `B= "retardation of" A=mug`
`v_(1)=v_(0)-mu"gt"` and `v_(2)=mu"gt"`
Hence the correct graph is `B`. When the slipping is ceased the common velocity of both blocks becomes `v_(0)//2`
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