If a solid sphere and a hollow sphere have the same mass and radius, which one will roll down an incline faster?

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Q: If a solid sphere and a hollow sphere have the same mass and radius, which one will roll down an incline faster?

Solution: The solid sphere will roll down the incline faster because it has a smaller moment of inertia compared to the hollow sphere.

Steps: 6

Step 1: Understand that both spheres have the same mass and radius.
Step 2: Know that when objects roll down an incline, their shape affects how fast they roll.
Step 3: Learn about 'moment of inertia,' which is a measure of how difficult it is to change an object's rotation.
Step 4: Realize that a solid sphere has a smaller moment of inertia than a hollow sphere of the same mass and radius.
Step 5: Remember that a smaller moment of inertia means the object can roll down the incline faster.
Step 6: Conclude that the solid sphere will reach the bottom of the incline before the hollow sphere.