  We experimentally investigate the dynamics of a sphere rolling up a granular
slope. During the rolling-up motion, the sphere experiences slipping and
penetration (groove formation) on the surface of the granular layer. The former
relates to the stuck motion of the rolling sphere, and the latter causes energy
dissipation due to the deformation of the granular surface. To characterize
these phenomena, we measured the motion of a sphere rolling up a granular slope
of angle $\alpha$. The initial velocity $v_0$, initial angular velocity
$\omega_0$, angle of slope $\alpha$, and density of the sphere $\rho_s$ were
varied. As a result, the penetration depth can be scaled solely by the density
ratio between the sphere and granular layer. By considering the rotational
equation of motion, we estimate the friction due to the slips. Besides, by
considering energy conservation, we define and estimate the friction due to
groove formation. Moreover, the translational friction is proportional to the
penetration depth. Using these results, we can quantitatively predict the
sphere's motion including stuck behavior.
