- #1

7randomapples

- 7

- 0

## Homework Statement

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. Homework Equations**

-Derived equation provided:

Finward = Fg

m1 v^2 / r = Gm1m2/r

v^2 = Gm2/r

v= (square root of) Gm2/r

## 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?

Last edited: