In the figure shown a small block B of mass m is released from the top of a smooth movable wedge A of the same mass m. The height of wedge A shown in figure is h = 16 cm. B ascends another movable smooth wedge C of the same mass. Neglecting friction anywhere find the maximum height (in cm) attained by block B on wedge C.Correct answer is '4'. Can you explain this answer?

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In the figure shown a small block B of mass m is released from the top of a smooth movable wedge A of the same mass m. The height of wedge A shown in figure is h = 16 cm. B ascends another movable smooth wedge C of the same mass. Neglecting friction anywhere find the maximum height (in cm) attained by block B on wedge C.

Correct answer is '4'. Can you explain this answer?

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In the figure shown a small block B of mass m is released from the top...

Let u and v be the speed of wedge A and block B at just after the Block B get off the wedge A. Applying conservation of momentum
in horizontal direction, we get
mu = mv ...(1)
Applying conservation of energy between initial and final state as shown in figure (1), we get

At the instant block B reaches amximum height h' on the wedge C (figure 2) the speed of block B and wedge C are v'
Applying conservation of momentum in horizontal direction, we get
mv=(m+m)v' ...(4)

Applying conservation of energy between initial and final state

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