The main difference between these two types of motion is that a sphere with no friction will continue to move with a constant velocity and direction, while a sphere with friction will eventually come to a stop due to the opposing force of friction.
The mass of the sphere will affect its motion in both cases. A sphere with no friction will have a constant velocity regardless of its mass. However, a sphere with friction will experience a greater force of friction with a larger mass, leading to a quicker deceleration and shorter distance traveled.
Yes, the motion of a sphere with friction can be described using Newton's laws of motion. Newton's first law states that an object will remain at rest or in motion with a constant velocity unless acted upon by an external force, which applies to the sphere with no friction. Newton's second law states that the force on an object is equal to its mass multiplied by its acceleration, which applies to the sphere with friction.
The surface on which the sphere is rolling can greatly affect its motion with friction. A rough surface will provide more resistance and increase the force of friction, leading to a shorter distance traveled. A smooth surface will provide less resistance and decrease the force of friction, allowing the sphere to travel a greater distance before coming to a stop.
Examples of motion of a sphere with no friction include a hockey puck sliding on ice or a ball rolling on a smooth surface. Examples of motion of a sphere with friction include a car rolling to a stop on a road or a ball rolling on a rough surface.