Find the net gravitational force?

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Homework Help Overview

The discussion revolves around calculating the net gravitational force on planet Z due to two other planets, X and Y, given their masses and distances. The problem is situated in the context of gravitational interactions among celestial bodies.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the use of superposition to calculate the net gravitational force by considering the forces exerted by planets X and Y on Z. Questions arise regarding the distance from X to Z and whether a diagram is necessary for clarity.

Discussion Status

Some participants have clarified that the planets are aligned in a row and suggest that the distance from X to Z can be determined by summing the distances between X and Y and Y and Z. However, there is no explicit resolution or consensus on the next steps to take.

Contextual Notes

The distance from X to Z is not provided, leading to discussions about how to derive it from the given distances. There is also uncertainty regarding the arrangement of the planets and whether additional information is needed.

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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