1. The problem statement, all variables and given/known data the five objects of various masses, each denoted m, all have the same radius. They are all rolling at the same speed as they approach a curved incline. Solid sphere - m = 1.0 kg Hollow Sphere - m = 0.2 kg Solid Cylinder - m = 0.2 kg Solid Disk - m = 0.5 kg Hoop - m = 0.2 kg Rank the objects based on the maximum height they reach along the curved incline. 2. Relevant equations Hoop - I=mr^2 Solid Disk and Cylinder - I=.5mr^2 Hollow Sphere - I=2/3mr^2 Solid Sphere - I=2/5mr^2 Where I is the moment of inertia, m is the mass, and r is the radius. 3. The attempt at a solution I am unsure of where to go from here. I know the equations for inertia, but when I used the equation leaving out r^2 since they all have the same radius they were in the wrong order according to the website. What am I supposed to do? I also know that the linear kinetic energy and the rotational kinetic energy are converted into gravitational potential energy. The equation I believe is 1/2mv^2 +1/2Iw^2 = mgh. M is the mass, v is linear velocity, I is moment of inertia, w is angular velocity, g is gravity, and h is the height. If I rearrange the equation to find height, h=(1/2mv^2+1/2Iw^2)/mg the masses cancel out leaving, h=(1/2v^2 +1/2(r^2)(w^2))/ g Am I on the right track? Am I forgetting something?