(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Height of ramp given normal force in circular loop

**Physics Forums | Science Articles, Homework Help, Discussion**