Momentum and CollisionHardBloom L3

Question

Figure shows a block of mass m projected with velocity v0 towards a wedge. Consider all the surfaces to be smooth. Block does not have sufficient energy to negotiate (overcome) wedge. Mark the correct option(s)

Options

A.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
B.wedge acquires maximum speed with respect to ground when block returns to lowest point on wedge.
C.momentum of wedge and block is conserved at all times
D.centre of mass of wedge and block remains stationary

Solution

Sol. (i) in horizontal direction momentum is conserved.

(ii) when block is at maximum height it would be stationary w.r.t. plank. So vblock = vplank = vcm

(iii) PE + KE = constant

(iv) vcm ≠ 0

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