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

AI Thread Summary
To find the distance from Earth's surface to point P where gravitational pulls from Earth and the Moon are equal, the gravitational force equation fg=Gm1m2/r^2 is used. Given the masses of Earth (5.97 x 10^24 kg) and the Moon (7.34 x 10^22 kg), along with the distance between them (3.84 x 10^8 m), calculations are needed to determine the specific location of point P. The problem requires setting the gravitational forces from both bodies equal to each other to solve for the distance. Participants express uncertainty about how to initiate the calculations and seek guidance on determining the gravitational pulls. Understanding the balance of gravitational forces is crucial for solving this problem.
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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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