Final answer:
The acceleration of a two-mass system on a frictionless pulley can be found using Newton's second law by dividing the net force by the total mass. The provided mass and radius of the pulley suggest a more advanced problem involving rotational motion, but these details are often ignored in introductory physics problems.
Step-by-step explanation:
The question asks about the acceleration of a two-mass system using a frictionless pulley whereby one mass is 200 grams and the other is 215 grams. To find the acceleration, we can use Newton's second law, which states that the force equals mass times acceleration (F=ma). Since the system starts from rest and the masses are different, the heavier mass will accelerate downward causing the lighter mass to accelerate upward. The net force on the system is equal to the difference in the weights of the two masses (the weight of the heavier mass minus the weight of the lighter mass), which can be converted to Newtons. This net force divided by the total mass of the two masses will give us the acceleration of the system. However, since the radius and mass of the pulley are provided, we need to consider the pulley's moment of inertia if the pulley were not negligible. In a standard introductory physics class, the mass and radius of the pulley would usually be ignored, simplifying the problem.