Gravitational pull on a spaceship by Earth = that of the Moon

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SUMMARY

The discussion centers on calculating the distance from Earth's surface to point P, where the gravitational pull from Earth equals that from the Moon. Given the masses of Earth (5.97 x 1024 kg) and Moon (7.34 x 1022 kg), and the distance between them (3.84 x 108 m), the gravitational force equation fg = Gm1m2/r2 is essential for solving the problem. The user seeks guidance on how to apply these values to find point P's distance from Earth.

PREREQUISITES
  • Understanding of gravitational force calculations using Newton's law of universal gravitation
  • Familiarity with the gravitational constant (G = 6.674 x 10-11 N(m/kg)2)
  • Basic algebra skills for solving equations
  • Knowledge of the concept of equilibrium in gravitational forces
NEXT STEPS
  • Calculate gravitational forces using fg = Gm1m2/r2 for both Earth and Moon
  • Determine the distance from Earth to point P where forces are equal
  • Explore the concept of gravitational equilibrium in multi-body systems
  • Review examples of similar gravitational problems in astrophysics
USEFUL FOR

Students studying physics, particularly those focusing on gravitational forces and celestial mechanics, as well as educators looking for practical examples of gravitational calculations.

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Homework Statement



A rocket on its way to the moon passes through point P (along the line
connecting the Earth and the moon) where the gravitational pull by the
moon is exactly equal to the gravitational pull by the earth. Neglect the
motions of the moon and the Earth and find the distance of point P from the
earth's surface.

Me= 5.97 x 10^24 kg

Mm= 7.34 x 10^22 kg

r= 3.84 x 10^8 m


Homework Equations



fg=Gm1m2/r^2



The Attempt at a Solution



Honestly, don't even know where to start. Any help will be greatly appreciated.
 
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