A hollow sphere of radius 0.45 m, with rotational inertia I = 0.026 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 11° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 80 J.
(a) How much of this initial kinetic energy is rotational?
KEi = KEf
KE = (1/2)mv^2 + (1/2)Iw^2
w = v/r
The Attempt at a Solution
I believe that with what I'm given I can solve for the mass of the object with rotational inertia and use that to find v? I also know that I'll have set one side of the equation equal to 80 and then solve for (1/2)Iw^2. I'm not 100% sure if finding v, then finding w and then finding (1/2)Iw^2 is the correct thought process..
I'd really appreciate any help at all for this one