Rolling Objects on Slope

Which object will rise farther up the slope?

a. The sphere.

b. More information about the objects' mass and diameter is needed.

c. The hoop.

d. Both the same.

Answer: C

When a small solid sphere and a small thin hoop are rolling along a horizontal surface with the same translational speed and encounter a 20° rising slope, the hoop will rise farther up the slope compared to the sphere.

The reason behind this is that the moment of inertia of a hoop is greater than that of a solid sphere for the same mass and radius. This higher moment of inertia for the hoop makes it less resistant to the rotation, allowing it to roll up the slope more effectively.

It is important to consider the distribution of mass in different objects to determine their behavior in rotational motion scenarios like rolling up a slope.