Two boxes, mA = 18 kg and mB = 14 kg, are attached by a string under tension T1 . The rightmost box is being pulled horizontally across the floor by a different string under tension T2 . The coefficient of kinetic friction between the boxes and the floor is µK = 0.240. If the boxes are accelerating at 3.5 m/s2 to the right, what is the tensions T1 and T2 ?

Explanation:

Applying the second Newton's law for the first box we have.

We know that the normal force is the product between the weight and the kinetic friction, so we have:

Now we can find T₁:

The acceleration is the same for both boxes.

Now let's analyze the forces of the second box.

Let's solve it for T₂.

I hope it helps you!

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