# Help with Escape Velocity Problem

I know that escape velocity is given by v^2 = 2GM/r

My question is what is the approximate escape speed needed to completely escape the moon & earth's gravity.

Is it the sum of their individual Escape velocities? or is it one equation, with the radius' added and masses added?

Thanks

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mgb_phys
Homework Helper
I would add the escape velocities, the value for the moon is pretty small anyway

Yea I was thinking that something (i.e moons EV) would be negligable since the question asked for the approximate value. But are you sure of that? Wouldn't it make sense astronomically - for something to escape moon's and earths gravity - that's on the moon, to have to travel slightly slower than earth's EV since now we are much farther away?

mgb_phys
Homework Helper
I read it to mean at a great distance from both whats the escape velocity, ie. of the earth-moon system, in which case the earth and moon's masses add so you can approx add their escape Vs

The exact wording of my problem is as follows:

"assuming one wished to escape completely from both the moon and earth's gravity, what would the approximate escape speed be from the moon?"

mgb_phys