Is this true:
When force is applied to a sphere NOT on center of mass (COM) then the sphere will move the same way as when force is ON center of mass, because the sphere is symmetric in every direction. So the kinetic energy is the same in both cases?
But since the force is NOT on COM, the sphere will be rotated, so the sphere has both kinetic and rotation energy. So the sphere receives more energy when the force is NOT applied on COM?
I think that energy must be the same in both cases, but I don't know where does it go wrong?