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Q.

A block of mass m is placed at rest on a smooth wedge of mass M placed at rest on a smooth horizontal surface. As the system is released

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a

The centre of the system has a acceleration g vertically down ward

b

Momentum of the system is conserved along the horizontal direction

c

acceleration of centre of mass acm<g is vertically down wards.

d

The centre of mass of the system remains stationary

answer is C, D.

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Detailed Solution

As there is no external force acting in the horizontal direction there is no shift in the center of mass  along horizontal.

Force acting only on the block is mg so the acceleration of the center of mass is less than g.

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A block of mass m is placed at rest on a smooth wedge of mass M placed at rest on a smooth horizontal surface. As the system is released