An Earth satellite remains in orbit at a distance of 6104 km from the center of the Earth. What speed would it have to maintain? The universal gravitational constant is 6.67X10^-11 N m^2/kg^2. The mass of the earth it 5.88X10^24 kg. Answer in units of m/s.(adsbygoogle = window.adsbygoogle || []).push({});

So again, missed the class. I'm crying. Most of my classmates are crying. (the few exceptions finding everything else to do in the world BUT help....) I tried this:

I knew that it had to go into the equation:

Vt=2piR/T

since I didn't have T i used the equation:

R= [(G x m x T^2)/(4pi)^2]^(1/3)

sooo that became:

6104000m=[(6.67X10^-11)(5.98X10^24kg)(T^2)/(4pi)^2]^(1/3)

(2.274X10^20)= (3.98866X10^14)(T^2)/(4pi)^2

T=9488.369sec

so then plugging back in I got:

Vt=(2pi)(6104000m)/9488.369sec

thus the answer was 4042.06066 m/s

guess what? That was wrong.

If anyone has any ideas where I messed up or if I just had a "100% FAIL" moment, I would love to hear it.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Velocity needed to maintain orbit

**Physics Forums | Science Articles, Homework Help, Discussion**