A sphere of mass m and radius r rolls on a horizontal plane without slipping with a speed u. Now it rolls up vertically, then maximum height it would be attain will be
A
3u24g
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B
5u22g
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C
7u210g
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D
u22g
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Solution
The correct option is C7u210g at no slipping condition for sphere,
u=ωr
⇒ω=ur
From energy conservation principle,
Initial energy= Final energy
⇒Linear kinetic energy+rotational energy=final potential energy