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