How much work does the earth do on the moon in one day?

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SUMMARY

The discussion focuses on calculating the gravitational work done by the Earth on the Moon in one day, using the formula for gravitational force and work. Participants mention the gravitational constant and the need to consider the circular orbits of both celestial bodies, with Earth completing its orbit in 365 days and the Moon in 28 days. The equation G=(mearth)(mmoon)/r2 is referenced, but participants express confusion regarding its application in this context. The correct approach involves using the work formula W = F . r, where the angle between force and displacement must be clarified.

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Assume that the Earth and the moon have circular orbits (which is almost true) and that the periods of their orbits are 365 and 28.0 , respectively.

How much work does the Earth do on the moon in one day?
How much work does the sun do on the Earth in one month?

Im totally lost on this problem...i tried using the equation G=(m,earth)(m,moon)/r^2 but that doesn't work! any advice on how to sove this question?
 
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W = F . r (since F is constant)
Whats the angle betw F and r
 

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