What is the height of the wedge?

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The discussion centers on calculating the height of a frictionless wedge after a block is released from it. A 0.5 kg block is released from the top of the wedge and, upon leaving, has a velocity of 4 m/s to the right. To find the wedge's velocity after the block reaches the horizontal surface, participants suggest using the work-energy theorem or analyzing normal reaction forces in circular motion. The problem emphasizes the importance of showing calculations and thought processes. Ultimately, the height of the wedge is a key variable in determining the final velocity of the wedge.
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A small block of mass .5kg is released form rest at the top of a curved-shaped frictionless wedge of mass 3 kg , which sits on a frictionless horizontal surfces. When the block leaves the wedge, its velocity is 4 m/s to the right. Find the velocity of the wedge after the block reaches the horizontal surface. What is the height of the wedge?:biggrin:
 
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You should really show some of your working / thoughts. Hint: Use circular motion and think about normal reaction forces.
 
Alternatively, you can use the work-energy theorem.
 
The work energy theorm is probably simpler.
 

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