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

Use the equation derived about to calculate the exact value of the initial speed that will produce a circular orbit of the satellite at an altitude of 1000 km above earth.

2. Relevant equations

-Derived equation provided:

Finward = Fg

m1 v^2 / r = Gm1m2/r

v^2 = Gm2/r

v= (square root of) Gm2/r

3. The attempt at a solution

Finward = Fg

m1 v^2 / r = Gm1m2/r

v^2 = Gm2/r

v = (square root of) Gm2/r

v = (square root of) (6.67x10^-11)(5.98x10^24)/1000

v = (square root of) 3.98....x10^11

I didn't round of 3.98....on my calculator; I saved the whole number and calculated the square. This gave me:

v = 631558.39

v = 6.3x10^5 m/s ????

Is this initial velocity though? Or did I miss a step?

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# Homework Help: Derived equation initial speed

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