(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The radius of Mercury (from the center to just above the atmosphere) is 2440 km (2440103 m), and its mass is 0.31024 kg. An object is launched straight up from just above the atmosphere of Mercury.

(a) What initial speed is needed so that when the object is far from Mercury its final speed is 2500 m/s?

vescape =

2. Relevant equations

1/2mvfinal^2-GMm/rfinal=1/2mvinitial^2-GMm/rfinal

3. The attempt at a solution

I tried to manipulate the formula algebraically. I got something like sqrt{2GM- vfinal^2}=vinitial. It's not working out. I think it has something to do with my algebra.

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# Homework Help: Problem with Escape Velocity given final speed

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