A solid sphere of mass 2 kg rolls up a 300 incline with an initial speed of 10 ms-1. The maximum height reached by the sphere is (Take, g = 10 ms-2)

A solid sphere of mass 2 kg rolls up a 300 incline with an initial speed of 10 ms-1. The maximum height reached by the sphere is (Take, g = 10 ms-2)

  1. A

    3.5 m

  2. B

    7 m

  3. C

    10.5 m

  4. D

    14 m

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    Solution:

    In case of pure rolling of sphere,  KRKT=25

    Total kinetic energy = 7/5 times the translational kinetic energy. At highest point, whole of the kinetic energy will be converted into potential energy.

      mgh=7512mv2 or h=7v210g=7(10)210×10=7 m

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