Earth's acceleration due to gravity

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SUMMARY

The acceleration due to gravity at a distance of 2 Earth radii above Earth's surface is calculated using Newton's law of universal gravitation. Specifically, the formula is g' = g / (1 + h/R)^2, where g is the acceleration due to gravity at Earth's surface (approximately 9.81 m/s²), h is the height above the surface, and R is the radius of the Earth. At 2 Earth radii, the calculated acceleration due to gravity is approximately 2.45 m/s².

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with gravitational acceleration concepts
  • Knowledge of Earth's radius (approximately 6,371 km)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the derivation of Newton's law of universal gravitation
  • Learn about gravitational fields and potential energy
  • Explore variations in gravitational acceleration at different altitudes
  • Study the implications of gravity in astrophysics and space exploration
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Students in physics, educators teaching gravitational concepts, and anyone interested in understanding the effects of gravity at varying distances from Earth.

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Homework Statement


What is the acceleration due to gravity at a distance of 2 Earth radii above Earth's surface?


Homework Equations


I'm lost with this question, can someone help. THanks


The Attempt at a Solution

 
Physics news on Phys.org
Ever heard of this Newton fellow? He had some kind of formula for this a while back.
 
This has to be one of the most straightforward questions ever asked around here.
 

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