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8.) consider two balls rolling down an inclined plane. one ball has a moment of inertia...

8.) consider two balls rolling down an inclined plane. one ball has a moment of inertia I and the other has a moment of inertia 2I. both balls start from rest at the same height and have the same mass. which ball will reach the bottom of the inclined plane first?

a. the ball with a moment of inertia I

b. ball with a moment of inertia 2I

c. same time

d. it is impossible to tell with the given information

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Answer #1

PE = KE

mgh = 0.5mv^2 + 0.5Iw^2

ball having smaller moment of inertia , less energy is spent in rotating the ball which means greater translational velocity

hence ball with smaller moment of inertia will reach quickly

so option A) is the correct answer

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