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Q.

A solid sphere rolls on a smooth horizontal surface at 10 m/s and then rolls up a smooth inclined plane of inclination 300 with horizontal. The mass of the sphere is 2 kg. Find the height attained by the sphere before it stops (in m).

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answer is 7.

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Detailed Solution

12Mv2+12Iω2=Mgh12Mv2+1225MR2V2R2=Mgh710Mv2=Mghh=7v210g=7(10)210(10)=7m
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