What is the orbital velocity of the 2nd satellite?

AI Thread Summary
The orbital velocity of the second satellite is calculated using the relationship between the radii and velocities of the two satellites. Given the velocity of the first satellite is 17,000 m/s and its radius is 5,250,000 meters, the radius of the second satellite is 8,600,000 meters. By applying the formula v2 = v1 * sqrt(r2/r1), the orbital speed of the second satellite is determined to be 21,758 m/s. This calculation relies on equating gravitational and centripetal forces. The solution effectively demonstrates the relationship between orbital speed and radius in satellite motion.
sandersky
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Homework Statement


PROBLEM
What is orbital speed of 2nd satellite?
VARIABLES
  • velocity of satellite 1 is 17000 meters/second
  • radius of satellite 1 to center of planet is 5250000 meters
  • radius of satellite 2 to planet is 8600000 m

Homework Equations


Fc = mv2/r


The Attempt at a Solution


? not a clue
 
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sandersky said:

Homework Equations


Fc = mv2/r
This is one of the equations you need. What force provides the centripetal force? (That will be the second relationship you'll need.)

Hint: Set up a ratio of v2 to v1
 
try equating gravity and centripetal force then you should be able to rearange the formula to find v?

perhaps this is right if its not i also need help on this question :confused:

Alex
 
I figure it out.
 
sandersky said:
I figure it out.

You've got me wondering...
What is the orbital speed of the second satellite?
How did you find it?
 
satellite

orbital velocity,v= sqrt[gr]

v1=17000 m/s
v2=?
r1=5250000 m
r2=8600000 m

so, v2/v1=sqrt[r2 /r1]
v2=v1 * sqrt[r2/r1]

answer:21,758 m/s
 
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