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A smooth rope of mas m and length L lies...

A smooth rope of mas `m` and length `L` lies in a heap on a smooth horizontal floor, with one end attached to a block of mass `M`. The block is given a sudden kick and instantaneously acquires a horizontal velocity of magnitude `V_(0)` as shown in figure 1. As the block moves to right pulling the rope from heap, the rope being smooth, the heap remains at rest. At the instant block is at a distance `x` from point `P` as shown in figure `-2( P` is a point on the rope which has just started to move at the given instant `)`, choose correct options for next three question.

The magnitude of acceleration of block of mass `M` is

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A smooth rope of mas m and length L lies in a heap on a smooth horizontal floor, with one end attached to a block of mass M . The block is given a sudden kick and instantaneously acquires a horizontal velocity of magnitude V_(0) as shown in figure 1. As the block moves to right pulling the rope from heap, the rope being smooth, the heap remains at rest. At the instant block is at a distance x from point P as shown in figure -2( P is a point on the rope which has just started to move at the given instant ) , choose correct options for next three question. The speed of block of mass M is

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