Calculating Gravitational Force with Universal Gravitation Formula

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SUMMARY

The discussion centers on calculating the gravitational force exerted on a 0.9 kg mass at a specific distance from the Earth using the Universal Gravitation formula. The correct approach involves using the equation F = GMm/r^2, where G is the gravitational constant (6.67E-11), M is the mass of the Earth (5.98E24 kg), and r is the distance from the center of the Earth, which includes the Earth's radius (6.37E6 m) plus any additional height (R). The participants clarify that the resulting force should be significantly greater than 8.17 x 10^-6 N.

PREREQUISITES
  • Understanding of the Universal Gravitation formula
  • Knowledge of gravitational constant (G = 6.67E-11)
  • Familiarity with the mass of the Earth (M = 5.98E24 kg)
  • Basic algebra for solving equations
NEXT STEPS
  • Research the implications of varying distances (R) in gravitational calculations
  • Learn about gravitational force calculations in different celestial contexts
  • Explore the concept of gravitational acceleration and its relation to mass
  • Study the effects of altitude on gravitational force
USEFUL FOR

Students in physics, educators teaching gravitational concepts, and anyone interested in astrophysics or gravitational calculations.

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At what center-to-center distance from the Earth would a 0.9 kg mass weigh 0.9 N?



I used equation g = GM/r^2 to get an answer of 8.17 X 10^-6 which is incorrect.

Am I using the correct formula? Thanks
 
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Well you know at this distance, F = m which implies a = 1.

Therefore use your formula like this: 1 = GM/r^2

G = 6.67E-11
M = 5.98E24
r = 6.37E6 + R
Where R is the distance from the surface of the Earth.

You are going to want your answer to be of an order of much, much greater than E-6
 
I got it. Thanks for your help.
 

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