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Q.

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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a

5 m

b

1.5 m

c

3.65 m

d

1.75 m

answer is C.

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Detailed Solution

The total mechanical energy is conserved.

12mv2(1+k2r2)=mgh

⇒5221+25=10×h ⇒h=1.75m 

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