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Questions  

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
 

a
10 m
b
5 m
c
6 m
d
7 m

detailed solution

Correct option is D

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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A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle inclination 300. The centre of mass of cylinder has speed of 4 ms-1. The distance travelled by the cylinder on the inclined surface will be
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