solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane. Each object has mass m and radius r. They both roll without slipping down the incline. Which of the following statements about their motion must be true? a) The solid sphere will reach the bottom first b) The hollow sphere will reach the bottom with the grater kinetic energy c) The hollow sphere will reach the bottom first d) Both spheres will reach the bottom at the same time e) The solid sphere will reach the bottom with the grater kinetic energy

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A solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane. Each object has mass m and radius r. They both roll without slipping down the incline. Which of the following statements about their motion must be true?

a) The solid sphere will reach the bottom first

b) The hollow sphere will reach the bottom with the grater kinetic energy

c) The hollow sphere will reach the bottom first

d) Both spheres will reach the bottom at the same time

e) The solid sphere will reach the bottom with the grater kinetic energy

Expert Solution
Step 1

For a solid sphere, the moment of inertia inertia is 25mr2

Where m is mass and r is radius of solid sphere.

For a hollow sphere, the moment of inertia is 23mr2

From the above two moment of inertia, hollow sphere is larger thereby having a greater resistance to motion.

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