Solving for gravitational pull

[jaff]

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?

 

[SammyS]

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 F_g=Gm₁m₂/r^2 is the force the sun exerts on Uranus.

 

[jaff]

thank you,

but its asking for the distance (km)

 

[SammyS]

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.