(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The attachment shows the problem. The normal force at the top of the loop is 3 g's (as in g-force).

2. Relevant equations

PE = mgh

KE = .5mv^{2}

Fc = [itex]\frac{mv^{2}}{r}[/itex]

PE + KE = PE' + KE'

v = [itex]\sqrt{2gh}[/itex]

3. The attempt at a solution

The normal force would be: 30 * mass.

Since he's at the top of the loop, the formula would be:

Fnet = Fc = (mv^{2})/r = Fnormal + mg

I have tried to cancel the mass out and to formulate a system of equations but I think I'm missing something. One formula I got is by setting PE equal to KE (for h, but only at the bottom before the skater goes up the loop):

h = [itex]\frac{.5v^{2}}{g}[/itex]

I am starting to think that I need the radius/velocity. Any ideas?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Height of ramp given normal force in circular loop

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