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13. Rotational Inertia & Energy - Part 1 of 2

13. Rotational Inertia & Energy - Part 1 of 2

13. Rotational Inertia & Energy / Conservation of Energy in Rolling Motion / Problem 3

Consider a bowling ball of radius r that rolls without slipping inside a semispherical bowl of radius R, where R is greater than r. The bowling ball starts from rest at a point level with the rim of the bowl. Determine the speed v of the bowling ball when it reaches the bottom of the bowl, assuming no energy is lost to friction.

A

$\sqrt{2 g(R-r)}$

B

$\sqrt{\frac{10 g R}{7}}$

C

$\sqrt{\frac{10 g(R-r)}{7}}$

D

$\sqrt{g(R-r)}$

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