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- Jul 24, 2008

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A bucket weighing 3.2 kg is hanging from a massless rope. If the bucket is pulled upward by the rope with an acceleration of 1.6 m/s^2, calculate the tension in the rope. So I'm pretty sure there are 2 forces acting on the bucket: mg down, and Ft, tension of the rope, up. So the sum of the forces must = ma. So, Ft - mg = ma. Here's where I get messed up. Since the acceleration is up, don't g and a have to be opposite signs? If I make them opposite signs, i get something like 26.24. However, the answer in my book is 36, which you would get if a and g had the same sign. Can anyone explain why they have the same sign? Thanks so much