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Question: A block A slides on the surface of wedge B. When the block reaches at bottom most point, the velocit...

A block A slides on the surface of wedge B. When the block reaches at bottom most point, the velocity of 10 kg wedge is 4 m/s, the velocity of block with respect to wedge is - (Assume all the surface in contact are smooth)

A

24 m/s

B

36 m/s

C

42 m/s

D

48 m/s

Answer

48 m/s

Explanation

Solution

Apply conservation of linear momentum along horizontal direction.

10 × 4 = 2(u cos 60º – 4)

20 = u2\frac { \mathrm { u } } { 2 } – 4 ̃ 24 = u2\frac { \mathrm { u } } { 2 } ̃ u = 48 m/s