Dynamics- Net Gravitational Force

AI Thread Summary
To find the point of zero net gravitational force in a binary star system where Star A is 28 times more massive than Star B and they are 34 AU apart, one must assume a location between the two stars. The gravitational forces exerted by each star on this point can be calculated using the formula FG = Gm1m2/r². By setting the forces equal to each other, the position where the net force is zero can be determined. The discussion emphasizes understanding the relationship between mass, distance, and gravitational force to solve the problem effectively. Further clarification can be sought if needed.
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Homework Statement


In a particular binary star system, Star A has a mass that is 28 times that of Star B. This distance between the stars is 34 AU (astronomical units). Find the location of the point in this star system where the net gravitational force on any mass would be zero.


Homework Equations



FG = Gm1m2
r2

The Attempt at a Solution



I have no idea on this one, if someone could explain how the information is even relevant and how I;m supposed to be solving it
 
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Assume an arbitrary point between the two stars which has net gravitational force zero.
Then calculate the force exerted on that point by each star. Then you can use the information that the "net gravitational force on any mass would be zero".You should get the answer:smile:

If doubts post again:smile:
 

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