Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A satellite moves from a circular orbit up to one up. Find the energy needed and its speed in each orbit. (, .)
In a circular orbit of radius : , , independent of the satellite's mass. Its energies: , , .
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. Energy. .
Step 2. Speeds. and .
Answer: ; it slows from to .
Watch out. Putting in energy leaves the satellite slower: the energy goes into climbing, and some speed is lost on the way up.
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