Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Balls of and are apart. Find their gravitational potential energy, the work to take them far apart, and their potential energy when apart.
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. .
Step 2. To reach : .
Step 3. At twice the distance, half the size: .
Answer: ; ; .
Watch out. goes as , not .
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