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Conservation of Energy for a Rolling Sphere

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A uniform solid sphere of mass M and radius R rolls without slipping along a horizontal surface with a linear velocity v₀. The sphere then rolls up an incline. What is the maximum height h its center of mass reaches above the horizontal surface?

A

h = 3v₀²/5g

B

h = 5v₀²/7g

C

h = 7v₀²/10g

D

h = v₀²/2g

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