A solid sphere of mass 2 kg rolls on a smooth horizontal surface at 10 . It then rolls up a smooth inclined plane of inclination with the horizontal. The height attained by the sphere before it stops is |
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a) |
700 cm |
b) |
701 cm |
c) |
7.1 m |
d) |
None of these |
A solid sphere of mass 2 kg rolls on a smooth horizontal surface at 10 . It then rolls up a smooth inclined plane of inclination with the horizontal. The height attained by the sphere before it stops is |
|||||||
a) |
700 cm |
b) |
701 cm |
c) |
7.1 m |
d) |
None of these |
(c)
Given that,
Mass of solid sphere, kg
Velocity,
Let the sphere attained a height .
When the sphere is at point , it possesses kinetic energy and rotational kinetic energy, and when it is at point it possesses only potential energy.
So, from law of conservation of energy
or
or
or
(for solid sphere,
or
or m