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A solid sphere of mass 1.5 kg rolls on a frictionless horizontal surface, its centre of mass moving at a speed of 5 $m s^{- 1}$ . Then it rolls up an incline of $30 °$ to horizontal. The height attained by the sphere before it stops is $(g = 10 m s^{- 2})$

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5 m

1.5 m

1.75 m

3.65 m

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detailed solution

Correct option is C

12mv2(1+k2r2)=mgh 5221+25=10×h h=1.75m

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A solid sphere of mass 1.5 kg rolls on a frictionless horizontal surface, its centre of mass moving at a speed of 5 ms−1 . Then it rolls up an incline of 30° to horizontal. The height attained by the sphere before it stops is (g=10 ms−2)

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Ready to Test Your Skills?

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A solid sphere of mass 1.5 kg rolls on a frictionless horizontal surface, its centre of mass moving at a speed of 5 $m s^{- 1}$ . Then it rolls up an incline of $30 °$ to horizontal. The height attained by the sphere before it stops is $(g = 10 m s^{- 2})$