Satellite Problems: Find Velocity of Satellite 3600km Above Earth

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To find the velocity of a satellite 3600 km above Earth, the correct formula is v = square root of (g)(Mearth/R), where R is the total radius from the center of the Earth, including Earth's radius plus the altitude. The initial attempt using V = 2πR/T was incorrect because it did not account for the proper radius. For calculating the force between the Earth and the satellite, both centripetal force and gravitational force equations can be used, as they are equivalent in this context. Clarification was provided that the radius, not just the altitude, must be used in these calculations. Understanding these relationships is crucial for solving problems related to satellite motion.
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We just started the chapter on circular motion. I am trying to find the velocity of a satellite 3600 km above earth. I came up with v= square root of (g)(Mearth/R). Is this correct? I tried V= 2(pie)R/T, but that didn't give me the correct answer.
 
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Yes, that is correct. Keep in mind that you need the radius in that equation, not the height above the Earth. You need to add the radius of the Earth to your altitude.
 
Thank you so much!
 
and also, if I wanted to find the force between the Earth and the satellite, would i use the equation for Force Centripital or Force of Gravity?
 
scoles said:
and also, if I wanted to find the force between the Earth and the satellite, would i use the equation for Force Centripital or Force of Gravity?

Think about it... Didn't you just state before that both equations are equal?
 
o i see... thanks!
 
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