Two blocks pulled with a string at constant speed, find the coefficient of kinetic friction, tension

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Two blocks pulled with a string at constant speed, find the coefficient of kinetic friction, tension.

We are given two blocks tied with a string and an external force acts on one of the blocks. The speed of the block system is constant, which means the net force is zero on each block.

We set up the force diagram for the blocks, including normal force, tension and kinetic friction. Next, we apply Newton's second law to each block, which in this case means the net force is zero on each block because the system is moving with constant speed.

We arrive at a system of equations with unknowns tension and kinetic friction coefficient, and we eliminate T in order to solve for the kinetic friction coefficient.

Finally, we plug the kinetic friction coefficient back into the first equation in order to solve for the tension in the string between the blocks.
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