Which object goes the farthest up the incline?

Which object goes the farthest up the incline?

Among a solid sphere, a solid cylinder, a spherical shell, and a hoop, which one goes the greatest distance up its incline?

Answer: C) spherical shell

Explanation:

Given a solid sphere, a solid cylinder, a spherical shell, and a hoop, all have the same mass and radius. Each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines.

To determine which object goes the greatest distance up its incline, we need to consider the conservation of energy. This involves the rotational energy and kinetic energy being equal to the potential energy.

The moment of inertia for each object plays a crucial role in determining the height it can reach. The moment of inertia for a spherical shell is maximum among the given objects, allowing it to attain the maximum height up the incline.