Calculating Orbital Velocity of X9's Satellite | Detailed Explanation Included"

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To calculate the orbital velocity of a satellite orbiting planet X9, one must first determine the gravitational force and centripetal acceleration equations. The relevant formula for orbital velocity is v^2 = GM/r, where r is the sum of the planet's radius and the satellite's altitude. The mass of planet X9 can be calculated using its volume and uniform density. The discussion emphasizes understanding the underlying physics concepts rather than simply providing answers. A detailed explanation of these calculations can facilitate solving similar problems in the future.
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I'm lost on this one... Can someone provide an answer? (detailed please)

Assume planet X9 is a spherical planet with a diameter of 1600 km with a uniform density of 5200 kilograms per cubic metre. If its only satellite is in a circular orbit 630 km above the surface of X9, what is its orbital velocity in metres per second? Please round up to the nearest whole number.

Thanks in advance :)
 
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>Can someone provide an answer? (detailed please)

No, we are here to offer hints and help, not do the homework for you. What is the equation for the gravitational attraction force between two masses? What is the equation for the centripital acceleration in uniform circular motion? Those are good places to start...
 
well what I'm going with is:

v^2 = GM/r

r= 800km +630km
M = mass of planet = 4/3 * pi * R^3 * density.

Am I heading down the right path?
 
Yep. Good job.
 
thanks... sorry if my post was misconstrued... I figured if I could get that one explained, the rest of the problems would go smoothly...
 
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