A solid uniform sphere and a uniform spherical shell both


A solid uniform sphere and a uniform spherical shell, both having the same mass and radius, roll without slipping down a hill that rises at an angle theta above the horizontal. Both spheres start from rest at the same vertical height h.

1. How fast is each sphere moving when it reaches the bottom of the hill?

2. Which sphere will reach the bottom first, the hollow one or the solid one?

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Physics: A solid uniform sphere and a uniform spherical shell both
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