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Figure shows a block of mass $M$ projected with velocity $V_{0}$ towards a wedge. Consider all the surfaces to be smooth. Block does not have sufficient energy to negotiate (over come) wedge. Mark the correct option(s)

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momentum of wedge and block is conserved at all times.

wedge acquires maximum speed with respect to ground when block returns to lowest point on
wedge.

when block is at the maximum height on wedge, block and wedge have velocity equal to velocity of centre of mass of block wedge system.

answer is A, B.

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Detailed Solution

At maximum height, relative velocity between block and wedge is zero. So, their common velocity is also the velocity of centre of mass. So long as the block is on the wedge, one component of normal reaction keeps on accelerating the wedge.

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