Solving for gravitational pull

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To determine the distance from Uranus where a space probe experiences balanced gravitational forces from both Uranus and the Sun, the gravitational force formula Fg=Gm1m2/r^2 is used. In this context, m1 represents the Sun's mass and m2 represents Uranus' mass. The distance r is the distance from Uranus to the Sun, which is essential for calculations. Additionally, the masses of both celestial bodies or their mass ratio must be known to equate the gravitational forces acting on the probe. Accurate calculations will yield the required distance in kilometers.
jaff
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How far from Uranus must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Uranus's pull?


Fg=Gm1m2/r^2


Would m1 be the sun's mass and m2, Uranus' mass. then what would Fg be?
 
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jaff said:
How far from Uranus must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Uranus's pull?

Fg=Gm1m2/r^2

Would m1 be the sun's mass and m2, Uranus' mass. then what would Fg be?
Hello jaff. Welcome to PF !

If m1 is the sun's mass and m2, Uranus' mass,

and also of r is the distance Uranus is from the sun, then Fg=Gm1m2/r^2 is the force the sun exerts on Uranus.
 
thank you,

but its asking for the distance (km)
 
jaff said:
thank you,

but its asking for the distance (km)
Then one piece of information you will need is the distance that Uranus is from the sun.

Other information you will need are the masses of the sun and Uranus, or at least the ratio of their masses.

You will need to express the force that Uranus exerts on the probe.

You will need to express the force that the sun exerts on the probe.

You will need to equate those two forces.
 
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