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

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The discussion revolves around calculating the work done by Earth on the Moon in one day, using gravitational force equations. Participants express confusion about applying the gravitational force formula, specifically G=(m_earth)(m_moon)/r^2, and its relation to work done, W = F . r. Clarification is sought regarding the angle between the force and the distance in the context of circular orbits. The need for a proper understanding of gravitational interactions and their implications on work calculations is emphasized. The conversation highlights the complexities of orbital mechanics in solving such physics problems.
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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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