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An elevator is hoisted by its cables at a constant speed is the total work zero, negative, or positive?

2. Homework Equations :

g= -9.81m/s

^{2}

3. The Attempt at a Solution

I'm thinking that since the weight of the elevator is in downward direction along with the acceleration of gravity also in the downward direction, that the tension in the cables and the displacement of the elevator should even out and. Thus the answer is zero though I'm not sure.