A ball of mass and radius R rolls without slipping from rest down a ramp and onto a circular path of radius 0.480 m. The initial height of the ball is h = 0.360 m. At the bottom of the circular path, the magnitude of the normal force on the ball is 2.00g. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form = βR2, but β is