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Three identical solid spheres move doen ...

Three identical solid spheres move doen through three inclined planes A,B and C all same dimensions. A is without friction B is undergoing pure rolling and C is rolling with slipping. Compare the kinetic energies `E_(A),E_(B)` and `E_(C)` at the bottom.

Text Solution

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(i) In this case, when three identical solid spheres starts to move on the inclined planes, they all have same potential energy.
(ii) During the motion, the potential energy is converted into kinetic energy.
(iii) According to law of conservation of energy, at the bottom all the potential energy is converted into kinetic energy.
(iv) Such that all three spheres have same kinetic energy at the bottom whatever be the type of motion. i.e. `E_(A) = E_(B) = E_(C)`.
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