A solid sphere and a hollow sphere of the same mass and radius are rolling down

A solid sphere and a hollow sphere of the same mass and radius are rolling down an incline. Which one will reach the bottom first? (2021)

A solid sphere and a hollow sphere of the same mass and radius are rolling down an incline. Which one will reach the bottom first? (2021)

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 they move.
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 the solid sphere has a smaller moment of inertia than the hollow sphere.
Step 5: Understand that a smaller moment of inertia means the solid sphere can rotate more easily and accelerate faster.
Step 6: Conclude that because the solid sphere accelerates faster, it will reach the bottom of the incline first.

Moment of Inertia – The moment of inertia is a measure of an object's resistance to changes in its rotation. A lower moment of inertia allows for faster acceleration when rolling.
Rolling Motion – Rolling motion involves both translational and rotational kinetic energy. The distribution of mass affects how quickly an object can roll down an incline.
Acceleration on Inclines – Objects rolling down an incline accelerate based on their moment of inertia and the gravitational force acting on them.