Final answer:
The question involves calculating the acceleration and tension in a system of two blocks connected by a massless string, using Newton's laws of motion and free-body diagrams in a frictionless scenario.
Step-by-step explanation:
The question pertains to a fundamental physics concept often encountered in mechanics, specifically the dynamics of a two-block system connected by a massless string and involving forces, tension, and acceleration. In a frictionless environment, when one block is on a horizontal surface and the other is hanging, the tension in the string and the acceleration of the system can be found using Newton's laws of motion and free-body diagrams. Given that m1 is on a frictionless surface and m2 is hanging, their accelerations will be equal due to the string being taut and massless, which is indicated as |a1| = |a2| in typical physics notation.
To solve for the acceleration (a) of the system and the tension (T) in the string, you would generally set up two equations based on the free-body diagrams of each block. For block m1 on the horizontal surface, the only horizontal force is the tension T. For block m2, the forces are its weight (m2g) and the tension T. By applying Newton's second law (F=ma) to each block, you can solve the system of equations to find the values of T and a.