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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



Question ID - 53253 | SaraNextGen Top Answer

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

1 Answer
127 votes
Answer Key / Explanation : (c) -

(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

127 votes


127