Physics Problem - Work and Energy - Work–Energy Theorem - Two Block Attached by a Rope and Pulley

An 8.00 kg block sits on a table. It is attached by a rope and pulley to a 6.00 kg block hanging off the table by the rope. The rope and pulley have negligible mass, and the pulley is frictionless. While the two blocks are moving, the tension in the light rope that connects them is 37.0 N. The blocks are released from rest. While the two blocks are moving, the tension in the light rope that connects them is 37.0 N.
(a) During a 0.800 m downward displacement of the 6.00 kg block, how much work has been done on it by gravity? By the tension T in the rope? Use the work–energy theorem to find the speed of the 6.00 kg block after it has descended 0.800 m.
(b) During the 0.800 m displacement of the 6.00 kg block, what is the total work done on the 8.00 kg block? During this motion how much work was done on the 8.00 kg block by the tension T in the cord? By the friction force exerted on the 8.00 kg block?
(c) If the work–energy theorem is applied to the two blocks considered together as a composite system, use the theorem to find the net work done on the system during the 0.800 m downward displacement of the 6.00 kg block. How much work was done on the system of two blocks by gravity? By friction? By the tension in the rope?

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