One 3.1 kg paint bucket is hanging by a massless cord from another 3.1 kg paint bucket, also hanging by a massless cord, as shown below.
If the two buckets are pulled upward with an acceleration of 1.30 m/s2 by the upper cord, calculate the tension in each cord.(lower cord) N(upper cord) N

Lower cord:

Upper cord:

Explanation:

Both buckets, of mass , experiment an acceleration . If the cord between them is under a tension and the upper cord is under a tension , then the equation for the lower bucket is , and for the upper bucket is , where we have just written all the forces on each bucket, and taken the upwards direction as positive. We can rewrite this as:

And with our values we have:

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