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1. Homework Statement
Given that the force of gravitation between Planet A (the one in the left side of the drawing), F_{a}=3000/d_{a}^{2} and the force of gravitation between Planet B and the rocket, F_{b}= 6000/ db^{2.} Assuming that the three bodies involved is in stationary. What are the distances (ranges) from Planet A where the gravitational force is above 0.001 Newtons?
2. Homework Equations
3. The Attempt at a Solution
First, I solved if the Fa>0.001,
Fa=3000/d_{a}^{2}
0.001<3000/d_{a}^{2}
1732.054< d_{a}^{2}
Therefore: 0 < d_{a}^{2} < 1732.054
Then I calculated if F_{b}>0.001
0.001<6000/d_{b}^{2}
2442.75<d_{b}^{2}
I subtracted the 2442.75 km from 6 000 000 km because the question asks what distances from planet A where the gravitational force is above 0.001 N.
5997557.25<d_{a}
0<d_{a}<5997557.25
Not sure if my answer was correct though, I'm still concerned with the middle body which is the rocket.
Given that the force of gravitation between Planet A (the one in the left side of the drawing), F_{a}=3000/d_{a}^{2} and the force of gravitation between Planet B and the rocket, F_{b}= 6000/ db^{2.} Assuming that the three bodies involved is in stationary. What are the distances (ranges) from Planet A where the gravitational force is above 0.001 Newtons?
2. Homework Equations
3. The Attempt at a Solution
First, I solved if the Fa>0.001,
Fa=3000/d_{a}^{2}
0.001<3000/d_{a}^{2}
1732.054< d_{a}^{2}
Therefore: 0 < d_{a}^{2} < 1732.054
Then I calculated if F_{b}>0.001
0.001<6000/d_{b}^{2}
2442.75<d_{b}^{2}
I subtracted the 2442.75 km from 6 000 000 km because the question asks what distances from planet A where the gravitational force is above 0.001 N.
5997557.25<d_{a}
0<d_{a}<5997557.25
Not sure if my answer was correct though, I'm still concerned with the middle body which is the rocket.
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