What are the correct heights for Tom after a collision with Dan in a halfpipe?

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In a semicircular halfpipe scenario, Dan collides with Tom after descending from height h. For a totally inelastic collision, both skaters move together, resulting in Tom reaching a height of h/4. In contrast, for an elastic collision, the calculations suggest Tom should also reach h/4, but this conclusion is disputed as incorrect. The discussion emphasizes the need for clarity in the calculations to identify the mistake in the elastic collision scenario. Understanding the mechanics of both collision types is crucial for determining the correct height Tom reaches after the impact.
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Homework Statement


Dan and Tom are skateboarding in a large semicircular halfpipe. Dan starts out from rest at a height h and collides with Tom standing at the bottom. Dan and Tom have about the same mass. After the collision, which height will Tom reach? Let's neglect friction and consider the following two extreme cases:
a) The collision is totally inelastic.
b) The collision is elastic. [/B]

Homework Equations



H = v² / 2g

The Attempt at a Solution


For part a) = V²/4 / 2g leaves them at h/4
For part b) = v^2/4/2g leaves them at h/4

Part a is correct but part b isn't. Any help would be appreciated[/B]
 
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