A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed `v_(0)`. It encounters an inclined plane at angle `theta` and climbs upward. Assuming that it rolls without slipping, how far up the sphere will travel ?

Options

A. `(10v_(0)^(2))/(7g sin theta)`
B. `(v_(0)^(2))/(5g sin theta)`
C. `(2)/(5) (v_(0)^(2))/(g sin theta)`
D. `(v_(0)^(2))/(2 g sin theta)`

Answer

A