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Q.

A solid sphere of mass 2 kg rolls on smooth horizontal surface at  10ms-1. It then rolls up a smooth inclined plane of inclination 30°. Height attained by sphere before stopping

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a

10 m

b

5 m

c

6 m

d

7 m

answer is D.

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Detailed Solution

total kinetic energy of a rolling body is 12mv21+k2r2    when it reaches the maximum height its all energy gets converted into potential energy then 12mv21+k2r2  =mgh v221+25=gh    h=v22g75=10020×75=7m
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