Universal law of gravity question

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SUMMARY

The discussion revolves around calculating the distance between the Earth and the Moon using the universal law of gravity. Given the mass of the Moon as 7.34 x 1022 kg and the gravitational force of attraction as 2.00 x 1020 N, the gravitational constant is provided as -6.67 x 10-11 N·m2/kg2. The equation F = G x m1 x m2 / r2 is utilized to derive the distance, with the mass of the Earth being a necessary variable for the calculation.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with gravitational constant values
  • Basic algebra for solving equations
  • Knowledge of mass units and conversions
NEXT STEPS
  • Research the mass of the Earth, which is approximately 5.97 x 1024 kg
  • Study the application of the gravitational constant in various contexts
  • Learn how to manipulate the equation F = G x m1 x m2 / r2 for different celestial bodies
  • Explore gravitational force calculations in multi-body systems
USEFUL FOR

Students studying physics, educators teaching gravitational concepts, and anyone interested in celestial mechanics and calculations involving gravitational forces.

Rgonzales
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Homework Statement



The question is: What is the distance between the moon and the Earth if the mass of the moon is 7.34 x 10(to the power of 22) kg and the force of attraction between the two is 2.00 x 10(to the power of 20) N?

Mass of the moon = 7.34 x 10(to the power of 22) kg
Attraction = 2.00 x 10(to the power of 20) N
Gravitional constant = -6.67 x 10(to the power of -11) N.m(squared)/kg(squared)
Mass of the Earth = ?
Distance between Earth and moon = ?

Homework Equations



F = G x m1 x m2
r(squared)


The Attempt at a Solution



First, I am pretty sure that i first need to find the mass of the earth. After, i will be able to sub in all the information to get the answer. I just need help to find the mass of the earth. Please help me.
 
Physics news on Phys.org
Just Google "mass of earth".
 
got it. thank you
 

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