# What speed would a satellite have to be placed to make it into orbit?

by joe426
Tags: orbit, satellite, speed
 P: 44 1. The problem statement, all variables and given/known data 2. Relevant equations F = G(m1m2/r2) 3. The attempt at a solution Well the height of Mt. Everest is 8,848 m. And I'm guessing the no atmosphere and not turning on an axis is just to setup the ideal problem. But from there I dont know how to set up the equation so that the satellite is placed into orbit.
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P: 11,819
 Quote by joe426 1. The problem statement, all variables and given/known data 2. Relevant equations F = G(m1m2/r2) 3. The attempt at a solution Well the height of Mt. Everest is 8,848 m. And I'm guessing the no atmosphere and not turning on an axis is just to setup the ideal problem. But from there I dont know how to set up the equation so that the satellite is placed into orbit.
What's the circular orbit speed for a satellite orbiting at an altitude of 8848m?
P: 44
 Quote by gneill What's the circular orbit speed for a satellite orbiting at an altitude of 8848m?
I dunno. How would I find it without given mass?

 P: 44 What speed would a satellite have to be placed to make it into orbit? I know that centrip acceleration is equal to v^2 / r. Would I set that to 0 and solve for v?
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P: 11,819
 Quote by joe426 I know that centrip acceleration is equal to v^2 / r. Would I set that to 0 and solve for v?
Nope. Right formula, but the centripetal acceleration won't be zero. What acceleration will balance it to make the total come out to zero?
P: 44
 Quote by gneill Nope. Right formula, but the centripetal acceleration won't be zero. What acceleration will balance it to make the total come out to zero?
94 m/s?
Not sure what you mean by, "balance it to make the total come out to zero?"
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P: 11,819
 Quote by joe426 94 m/s? Not sure what you mean by, "balance it to make the total come out to zero?"
The radius of a circular orbit must be constant (or else it wouldn't be a circle!). That means the net radially-directed acceleration (or force) must be zero. What two accelerations act to reach a balance for a circular orbit? Or in other words, what two forces are acting?

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