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How do you Calculating the escape velocity? I googled it but they give bad instructions on how to do it. What is the formula?

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- #1

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- #2

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Every time I try using the formula i have i have to solve for V^2 and I get it to equal 35

3541. Is this right? I plug in the numbers like it says it I still dont get the right answer.

3541. Is this right? I plug in the numbers like it says it I still dont get the right answer.

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- #3

mgb_phys

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Kinetic energy = 1/2 m v^2

You start at r=radius of earth and end up at r=infinity.

A bit of rearranging and a subtraction and it shoudl be easy

- #4

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I set KE=GPE i get a velocity of 465,561 for a 10kg object. This doesnt seem right.

- #5

Nabeshin

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Well escape velocity is a function of radius so this question, as you stated, makes no sense...I set KE=GPE i get a velocity of 465,561 for a 10kg object. This doesnt seem right.

- #6

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What formula are you using?Every time I try using the formula i have i have to solve for V^2 and I get it to equal 35

3541. Is this right? I plug in the numbers like it says it I still dont get the right answer.

- #7

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What formula are you using?

V[tex]^{2}[/tex]=[tex]\frac{2GM}{R}[/tex] to find the escape velocity of the earth and i get, 465561.808.

- #8

sylas

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You've got "tex" tags inside your formula. I've tried to fix tags in the quoted extract; but it is still not displaying for some reason. But the forumla looks fine to me. Just make sure all your variables are in consistent units. You give a number, but no units. Are you meaning km/hr, or m/s, or something else?[itex]V^{2}=\frac{2GM}{R}[/itex] to find the escape velocity of the earth and i get, 465561.808.

The gravitational constant G is usually given in SI units. If you do everything in meters and seconds and kilograms, it will work.

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- #9

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Okay, from this answer, I'd say that you are using kilometers instead of meters for the radius of the Earth.

3541. Is this right? I plug in the numbers like it says it I still dont get the right answer.

- #10

mgb_phys

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GM for the Earth is almost exactly 400,000 km^3/s^2 (worth remembering)

The radius of the Earth is around 6400km

so v^2 = 2GM/r = 2*400,000/6400 = 225km^2/s^2

v = 11.2km/s (roughly)

edit - sorry i posted this straight after you replied, but it didn't show up (got a database error message)

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