A solid sphere and a hollow sphere of the same mass and radius are released from

A solid sphere and a hollow sphere of the same mass and radius are released from rest at the same height. Which one will hit the ground first?

A solid sphere and a hollow sphere of the same mass and radius are released from rest at the same height. Which one will hit the ground first?

Step 1: Understand that both spheres (solid and hollow) have the same mass and radius.
Step 2: Know that both spheres are released from the same height and start from rest.
Step 3: Learn about moment of inertia, which is a measure of how difficult it is to change the rotation of an object.
Step 4: Realize that the solid sphere has a smaller moment of inertia compared to the hollow sphere.
Step 5: Understand that a smaller moment of inertia means the solid sphere can roll down the incline faster.
Step 6: Conclude that since the solid sphere rolls down faster, it will hit the ground first.

Moment of Inertia – The solid sphere has a smaller moment of inertia compared to the hollow sphere, which affects its acceleration when rolling down an incline.
Rolling Motion – Understanding the dynamics of rolling objects, including the relationship between translational and rotational motion.
Energy Conservation – Both spheres convert potential energy to kinetic energy, but the distribution between translational and rotational kinetic energy differs.