A 1 kg block is released from rest from the top of a smooth curved wedge of mass 4 kg. Origin O is at the lower-left corner; the wedge dimensions are shown (4 m horizontally, 4 m left height, 2 m right height). All quantities are with respect to ground.

Physics · Center of maas , Momentum and Collision · momentum and conservation of momentum

JEE Advanced

A 1 kg block is released from rest from the top of a smooth curved wedge of mass 4 kg. Origin O is at the lower-left corner; the wedge dimensions are shown (4 m horizontally, 4 m left height, 2 m right height). All quantities are with respect to ground.

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Sub-question 1

Final speed of the wedge is:

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Sub-question 2

The block strikes the x-axis at x =

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Sub-question 3

At an instant the block acceleration is 5√3 m s⁻² at 60° to horizontal, while the normal is at 30°. The normal reaction is:

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