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Samei

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## Homework Statement

Problem: [/B]A curved plate of mass M is placed on the horizontal, frictionless plane as shown. Small puck of mass m is placed at the end of the plate and given an initial horizontal velocity v. How high the puck will shoot up from the plate? Regard radius of curvature to be much smaller than the jump height and consider that the puck leaves the plate vertically.## Homework Equations

Conservation of Energy: KE1 + PE1 - Wf = KE2 + PE2 and Wf = deltaTME = (delta K + delta P)

Also, possibly Angular Speed: w = v/r

## The Attempt at a Solution

[/B]

From the first equation, KE1 + PE1 - Wf = KE2 + PE2

So, ((mv1^2)/2) + (mgh)) - Wf = ((mv2^2)/2) + (mgh))

Now, at the first point, h = 0. Thus, PE1 = 0. Also, since delta K = ((mv2^2)/2) - ((mv1^2)/2) and delta P = mgh - 0:

This extends to ((mv1^2)/2) - (((mv2^2)/2) - (mv1^2)/2) + mgh))) = ((mv2^2)/2) + (mgh))

Simplifying all this makes: (mv1^2)/2) - (mv2^2)/2) + (mv1^2)/2) - mgh = ((mv2^2)/2) + (mgh)) or

2(mv1^2)/2 = 2(mv2^2)/2) + 2(mgh))

Removing 2m, (v1^2)/2 = (v2^2)/2 + 2gh

I need another equation. This is when I turn to the angular speed (?), at least possibly. Momentum is not conserved since friction is present, so I am not sure what equation to make. Any suggestions on my next steps, or if I am on the right track at least? Any help is appreciated!

Note: Do I have to apply Calculus techniques here? Is that why I'm missing? I'm a little rusty on that area.

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