Calculate the Speed of a Satellite Moving in a Stable Circular Orbit

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To calculate the speed of a satellite in a stable circular orbit at 4870 km above Earth, the relevant equation involves gravitational constant and radius. The formula V = √(GM/r) applies, where G is the gravitational constant and r is the distance from the center of the Earth. Participants emphasize the importance of showing effort in homework questions to receive effective assistance. Additionally, it's suggested to revise the thread title for clarity regarding the specific question being asked. Proper adherence to homework guidelines is encouraged for better support.
Jade_lowe
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Homework Statement
Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 4870 km.
Relevant Equations
v = ? m/s
V = ? m/s V = D/T V = Square root (6.67 * 10^-11)(m)/r
 
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Jade_lowe said:
Homework Statement:: Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 4870 km.
Relevant Equations:: v = ? m/s

V = ? m/s
In order to receive help and come unstuck, you need to show some effort. Please read, understand and follow our homework guidelines here
https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/

Also, please change the title to something that describes the question you have more accurately.
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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