Escape Velocity Calculation for Orbiting Satellite

AI Thread Summary
To determine how much a satellite must increase its speed to escape Earth's gravity from an altitude of 3700 km, the escape velocity is 11,200 m/s. The current orbital velocity at that altitude needs to be calculated using the formula v = √(GM/r). Once the orbital velocity is found, it can be subtracted from the escape velocity to find the required speed increase. The discussion also touches on gravitational potential energy and kinetic energy relationships at that altitude. The participants confirm that the necessary information is available to solve the problem.
MiniTank
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I am having some difficulty with this question:
A satellite is in orbit around Earth at an altitude of 3700 km. How much must its speed increase, in km/h, to escape the Earth's force of gravity?

I'm stumped. Please help
 
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Whats Earth's escape velocity?
What velocity is it orbitting at if its at that altitude?
 
Earth's escape velocity = 1.12 x 10^4 m/s
and the velocity at that altitude is what I am having tourble with
 
Find the gravitational potential energy at that altitude. What doy ou know about the satelite's KE if it remains at that point?
 
i think i get what your saying ..

Ek = 1/2 |Eg|
\frac{1}{2}mv^2 = \frac{1}{2}\frac{GMm}{r}
v=\sqrt{\frac{GM}{r}}

after i find that .. do i subtract that velocity from the escape velocity of earth?
 
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Fix your tex tags, slash them the other way, /tex
 
You've got all youj need to solve the problem.
 
alright thanks ... appreciate it
 
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