Question

A solid ball, a solid disk, and a hoop, all with the same mass and the same radius, are set rolling without slipping up an incline, all with the same initial linear (translational) speed. which goes farthest up the incline?

Answer 1

This question is about inertia. In the case of inertia the greatest distance covered will be by body which has greatest inertia.

Inertia of a solid ball:

`I= (2)/(5) *m* r^(2)`
Inertia of a solid disk:

`I= (1)/(2) *m* r^(2)`
Inertia of a hoop:

`I=m* r^(2)`

From the given formulas we can see that hoop has greatest inertia. So, it will travel farthest up incline.