What is the orbital velocity of the 2nd satellite?

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Homework Help Overview

The problem involves calculating the orbital speed of a second satellite given the orbital speed and radius of a first satellite. The context is centered around orbital mechanics and the relationships between centripetal force and gravitational force.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the centripetal force equation and suggest setting up a ratio of the velocities of the two satellites. There are attempts to equate gravitational force with centripetal force to derive the necessary relationships for the solution.

Discussion Status

Some participants have provided hints and guidance on how to approach the problem, including the use of ratios and relevant equations. There is an exploration of different methods to relate the two satellites' velocities, but no consensus on a final solution has been reached.

Contextual Notes

Participants are working with specific values for the velocities and radii of the satellites, but there is uncertainty about the application of the equations and the assumptions being made regarding the forces involved.

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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