Three identical solid spheres move down three incline `A, B` and `C` are all of the same dimensions. A is without friction, the friction between `B` and a sphere is sufficient to cause rolling without slipping, the friction between `C` and a sphere causes rolling with slipping. The kinetic energies, of `A, B, C` at the bottom of the inclines are `E_(A),E_(B),E_(C)`.

Options

A. `E_(A)=E_(B)-E_(C)`
B. `E_(A)=E_(B)gtE_(C)`
C. `E_(A)gtE_(B)gtE_(C)`
D. `E_(A)gtE_(B)=E_(C)`

Answer

B

Explanation

For `A` and `B` energy will remains conserved but energy of `C` will dissipate due to action friction force.