How Do You Calculate Acceleration Due to Gravity at a Distance from Earth?

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SUMMARY

The discussion focuses on calculating the acceleration due to gravity at a distance of 3,000 km above the Earth's surface for an object with a mass of 525 kg. The relevant equations include Newton's law of universal gravitation, Fg = Gm1m2/r², and the formula for gravitational acceleration, g = Gm/r². Given the mass of the Earth (5.98 x 10²⁴ kg) and the Earth's radius (6.37 x 10⁶ m), participants are encouraged to apply these equations to determine the gravitational acceleration at the specified altitude.

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Homework Statement



An object(mass=525kg) is 3.0x103 km above the Earth's surface. This object is falling toward the Earth because of the Earth's gravitational force on it. What is the rate of acceleration when it is at this distance?


Homework Equations



Mass of Earth=5.98x1024
Radius of Earth=6.37x106
Fg=Gm1m2/r2

g=Gm/r2


The Attempt at a Solution





Thank you for your help!
 
Last edited:
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How would you go about using the equations you have cited?
 
D H said:
How would you go about using the equations you have cited?

I was kind of hoping you'd have some ideas ;)
 

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