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 reaches the bottom first?

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

Step 1: Understand that both spheres are released from the same height and have the same mass and radius.
Step 2: Know that when an object rolls down a slope, it has both translational kinetic energy (movement) and rotational kinetic energy (spinning).
Step 3: Learn about moment of inertia, which is a measure of how difficult it is to change the rotation of an object. A lower moment of inertia means it's easier for the object to roll.
Step 4: The solid sphere has a lower moment of inertia compared to the hollow sphere. This means it can roll down the slope more easily.
Step 5: Since the solid sphere can convert more of its potential energy (from being at a height) into translational kinetic energy (moving forward), it will reach the bottom of the slope faster than the hollow sphere.

Moment of Inertia – The solid sphere has a lower moment of inertia compared to the hollow sphere, which affects how it rolls down an incline.
Energy Conversion – The conversion of potential energy to kinetic energy is more efficient in the solid sphere due to its distribution of mass.
Rolling Motion – Understanding the dynamics of rolling objects, including translational and rotational motion.