Question

A hollow sphere and a solid sphere each have the same mass and radius. They are...

A hollow sphere and a solid sphere each have the same mass and radius. They are released simultaneously from rest and allowed to roll without slipping down a ramp. Which one reaches the bottom first?

Group of answer choices

You can't determine which is first unless you know the radius..

You can't determine which is first unless you know the mass.

They reach the bottom at the same time.

the hollow sphere

the solid sphere

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Answer #1

Acceleration of a rolling body on an inclined plane of inclination is given by

  where M is mass of body, R is radius of body, I is moment of inertia of body.

For hollow sphere,

For solid sphere,

We can see, acceleration of solid sphere is greater than the acceleration of hollow sphere, therefore, time taken to reach bottom is lesser for solid sphere as compared to hollow sphere.

Solid sphere reaches the bottom first.

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