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earth which orbits the sun in an elliptical path reaches its closest point to the sun...

earth which orbits the sun in an elliptical path reaches its closest point to the sun on about January 4th each year. Will the work done by the gravitational force of the sun on earth be positive negative or zero over the next 6 months? over the next year?

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Answer #1

work done = force * displacement

over the next one year, the earth will again come to the same spot as it is now, so displacement is zero.

Therefore, work done by the gravitational force of the sun on earth over the next year will be ZERO.

Similarly,

over the next six months, the earth will be moving away from sun, so, work done will be negative because force by sun on moon will be exact opposite to direction of motion.

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