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A sphere moving with a velocity v(0) on ...

A sphere moving with a velocity `v_(0)` on a smooth surface suddenly enters on a rough horizontal surface as shown in Fig. State which of the following statements are true or false

a. The sphere loses translational kinetic energy and gains rotational kinetic energy.
b. The total energy of the sphere is conserved.
c. The angular momentum of the sphere about any point `OD` the surface is conserved.
d. The final velocity attained by the centre of mass is `2v_(0)//3`.

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