Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Find the gravitational potential at the Earth's surface and at a height of above it. How much work raises a body between these two places? (, .)
Taking zero far away: potential energy , potential . The work to move a body from to is , close to only for heights much smaller than . Near the Earth, .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Surface. .
Step 2. Height . : .
Step 3. Work. .
Answer: and ; work .
Watch out. The height is , but the distance from the centre is .
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