The formula for the acceleration of a uniform solid sphere rolling on an inclined plane is a = (2/5)g*sinθ, where g is the acceleration due to gravity and θ is the angle of the incline.
The mass of the sphere does not affect its acceleration on an inclined plane. This is because the acceleration is solely determined by the angle of the incline and the acceleration due to gravity.
In translational motion, the center of mass of the sphere moves in a straight line down the incline. In rotational motion, the sphere rotates around its center of mass as it moves down the incline.
The radius of the sphere does not directly affect its acceleration on an inclined plane. However, a larger radius may result in a larger moment of inertia, which could affect the sphere's rotational motion down the incline.
Friction can cause the sphere to slow down and eventually come to a stop on the incline. The amount of friction depends on the coefficient of friction between the sphere and the incline's surface. Without friction, the sphere would continue to roll indefinitely on the incline.