A solid sphere of mass 2 kg rolls up a 300 incline with an initial speed of 10 ms-1. The maximum height reached by the sphere is (Take, g = 10 ms-2)

In case of pure rolling of sphere,  KRKT=25Total kinetic energy = 7/5 times the translational kinetic energy. At highest point, whole of the kinetic energy will be converted into potential energy.∴  mgh=7512mv2 or h=7v210g=7(10)210×10=7 m