Final answer:
The correct alternatives for a solid cylinder rolling without slipping under a horizontal force are that the acceleration of the center of the cylinder is F/m, and the frictional force acts backward to prevent slipping. The magnitude of the friction force requires additional information to determine.
The correct option is A.
Step-by-step explanation:
The subject of the question is physics, focusing on the dynamics of a solid cylinder rolling without slipping on a horizontal surface. When a horizontal force F is applied through the center of mass C of the cylinder, we have the following analysis:
The acceleration a of the center of the cylinder is F/m, since the net force on the center of mass in the horizontal direction is just F, and by Newton's second law (ΣFx = max), the acceleration a can be found.
The frictional force on the cylinder acts backward, not forward, which opposes the motion if there's any tendency for slipping.
The magnitude of the friction force cannot be determined without additional information, but it is the force that is required to prevent slipping and is less than or equal to the product of the coefficient of static friction and the normal force.
The correct option is A.