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application of work-energy theorm

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In the figure, two blocks are connected by a string across a pully. m1 sits at rest on a table.
m1 = 3.4 kg. Use work and energy to find the speed of the m2 = 2.5 kg block just before it hits the floor in each of the following cases.

* Distance between the floor and m2 = 1.5

(a) The table is frictionless.

(b) The coefficient of kinetic friction of the 3.4 kg block is 0.15.

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Please see the attached file for detailed solution.
(a) The tension of the cable is the internal force, ...

Solution Summary

The solution is comprised of step-by-step calculation of the speed of the block m2 just before it hits the floor using work-energy theorem.