A solid sphere and a hollow cylinder have the same radius and the same mass. They start from rest at the top of an incline. Which reaches the bottom first? Which has the greater speed at the bottom? Which has the greater total kinetic energy of the bottom ? Which has the greater rotational `KE`?

Explanation

To solve the problem step by step, we will analyze each part of the question regarding the solid sphere and hollow cylinder.

### Step 1: Moment of Inertia Calculation
1. **Solid Sphere**: The moment of inertia \( I \) for a solid sphere is given by:
\[ I_{\text{sphere}} = \frac{2}{5} m r^2 \]
2. **Hollow Cylinder**: The moment of inertia \( I \) for a hollow cylinder is given by:
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