Solving the Tension in Two Hanging Paint Buckets

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The problem involves two 3.90 kg paint buckets hanging from each other, requiring the calculation of tension in both cords. The tension in the lower cord is determined to be 9.8 N, which is the weight of the lower bucket. For the upper cord, the tension is calculated by adding the weight of both buckets, resulting in 76.44 N. The discussion emphasizes the importance of understanding that weight is the force due to gravity, calculated using F=ma. Accurate calculations are essential for solving such tension problems effectively.
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Homework Statement



One 3.90 kg paint bucket is hanging by a massless cord from another 3.90 kg paint bucket, also hanging by a massless cord, as shown in figure below. If the buckets are at rest, what is the tension in the lower cord? What is the tension in the upper cord?


Homework Equations


Tlower = ma + W
F=ma

The Attempt at a Solution



T = (3.9)(0) + 9.8

T= 9.8 N

?
I wasn't getting the lower tension right, so I figured I should find out how to do that first, hence no work for the upper tension.
Any help appreciated
 
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The weight of an object is given by the product of its mass and the acceleration due to gravity.
 
Ohh. So, the tension of the upper cord is Tu = ma + W + Tl, so Tu = 0 + 38.2 + 38.2N, Tu = 76.44 N.
Thanks!
 
Just remember that weight is the force on an object due to gravity. It can sometimes get confusing because it has its own name but its just given by F=ma where a is the acceleration due to gravity.
 
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