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The work done by gravity is given by the change in the gravitational potential energy. The formula for this is:

work = -m*g*h, where m is mass, g = 9.8 m/s2 (the acceleration due to gravity), and h is the change in height.

Since after one rotation is completed, the net change in height is 0m, the work done by gravity will be 0, since anything times 0 is 0, by the Multiplicative Property of Zero.

In the equation, the reason that there is a negative sign is because if the change in height is positive, that is, if you have moved up in elevation, then gravity has done "negative work," since you have moved in a direction that is opposed to the force of gravity.

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