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A sphere of radius R and mass M collides...

A sphere of radius `R` and mass `M` collides elastically with a cubical block of mass `M` and side `2R`. The entire system is on a smooth horizontal ground. Given that the sphere was rolling without slipping with an angular velocity `omega` at the time of collision. The velocities of the sphere and the block after the collision are

A

`omega_("sphere") = 0, v_("sphere") = 0, v_("block") = v`

B

`omega_("sphere") = omega, v_("sphere") = 0, v_("block") = v`

C

`omega_("sphere") = 0, v_("sphere") = 0, v_("block") = 0`

D

`omega_("sphere") = (omega)/(2), v_("sphere") = (v)/(2), v_("block") = (v)/(2)`

Text Solution

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The correct Answer is:
B
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