How could I solve question A?

4. Consider the modified Atwood machine below. Block 1 is released from rest and slides a distance d along the frictionless table. Block 1 is connected to Block 2 by a massless, inextensible string, which falls under the influence of gravity and the tension force. m1 Goal: find the final speed v of Block 2 in terms of m1, m2, d, and any relevant constants. There are three different possible methods, as follows. (Do them all.) (a) Solve this problem using dynamics (i.e. setting up free-body diagrams, finding accelerations, using the constant-acceleration kinematic equations). Along the way, find an expression for the acceleration a of Block 2 and the tension T in the string in terms of my, m2, d, and any relevant constants. In the following questions, you will solve this problem from an energy perspective. In these problems, draw energy bar charts for each situation, carefully arguing why the different quantities are what they are. In addition, it will be necessary to draw free-body diagrams in order to argue about what the works done by external forces are. (b) Solve this problem (i.e. find the final speed v) using the work-energy theorem, choosing Blocks 1 and 2 and the Earth together as the system. (c) Solve this problem using the work-energy theorem, choosing Blocks 1 and 2 together as the system. (d) Solve this problem using the work-energy theorem, choosing just Block 2 as the system. (Note: in this 1. problem, you will have to use the expression for T derived in Part (a).)