1. The problem statement, all variables and given/known data A uniform sphere and a particle are sent one-by-one with the same initial speed up the same incline. Each rises to a maximum height before falling back towards the starting point. The sphere rolls without slipping; the particle slides without friction. Use conservation of energy to show that the maximum height gained by the sphere is a factor 7/5 times that gained by the particle 2. Relevant equations I = (2/5)MR^2 3. The attempt at a solution In the first part of the question I'm asked to prove the moment of inertia for a hollow sphere and then a uniform sphere. I've done that and gotten the above equation for uniform sphere. But I don't know to apply it in this case. I'm not given any masses for either body. Any help?