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Energy Conservation of a Rolling Sphere

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A solid sphere of mass M and radius R rolls without slipping on a horizontal surface with a linear speed v. The sphere then begins to slide up a frictionless incline. What is the maximum vertical height h the sphere attains?

A

h = v²/2g

B

h = 3v²/5g

C

h = 5v²/7g

D

h = 7v²/10g

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