Find the net gravitational force?

AI Thread Summary
To find the net gravitational force on planet Z, the distances between the planets X, Y, and Z must be established. The distance from X to Z can be calculated by summing the distances from X to Y and Y to Z, resulting in 110 x 10^6 km. The gravitational force can then be determined using the formula F = Gm1m2/r^2, applying it for both planets X and Y acting on Z. The forces from both planets should be combined to find the net gravitational force on Z. This approach utilizes the principle of superposition in gravitational interactions.
wasi90lk
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Homework Statement



three planets, X,Y and Z, are situated in 3 different places.

distance between X and Y = 60 x 106 km

distance between Y and Z = 50 x 106 km

mass of X = 3.0 x 1024 kg

mass of Y = 4.0 x 1024 kg

mass of Z = 5.0 x 1024 kg

find the net gravitational force on planet Z.


Homework Equations



F = Gm1m2/r2


The Attempt at a Solution



i am not sure where to start.
 
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wasi90lk said:

Homework Statement



three planets, X,Y and Z, are situated in 3 different places.

distance between X and Y = 60 x 106 km
distance between Y and Z = 50 x 106 km

mass of X = 3.0 x 1024 kg
mass of Y = 4.0 x 1024 kg
mass of Z = 5.0 x 1024 kg

find the net gravitational force on planet Z.

Homework Equations



F = Gm1m2/r2

The Attempt at a Solution


i am not sure where to start.

You would expect to solve by superposition, in adding the force of XZ and YZ. But what is the distance from X to Z? Is there a diagram? Is there a typo? Are they all 3 in a row?
 
they are all in a row. distance between X and Z isn't given, but we can get that by adding distance of X+Y and distance of Y+Z.
 
wasi90lk said:
they are all in a row. distance between X and Z isn't given, but we can get that by adding distance of X+Y and distance of Y+Z.

OK. So solve it then. You have the right formula.
 
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