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

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Homework Help Overview

The discussion revolves around calculating the orbital velocity of a satellite orbiting planet X9, which is described as a spherical body with specific dimensions and density. The problem involves understanding gravitational forces and circular motion principles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the gravitational attraction force and centripetal acceleration equations as starting points. One participant outlines their approach to calculating the orbital velocity using relevant formulas, including the mass of the planet derived from its density and volume.

Discussion Status

The conversation is progressing with participants sharing their reasoning and confirming the validity of approaches. Some guidance has been provided regarding foundational equations, and there is a collaborative atmosphere as participants seek clarification and support.

Contextual Notes

The original poster expresses a desire for detailed explanations, indicating a need for foundational understanding rather than direct answers. There is an emphasis on learning through hints rather than complete solutions.

badicatte
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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 centripetal 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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