No Net Force from Earth & Moon Gravity at 90% d

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A satellite positioned at 90% of the distance from Earth to the Moon experiences no net gravitational force due to the equal and opposite gravitational pulls from both bodies. The gravitational force can be calculated using Newton's law of universal gravitation, which states that the force is inversely proportional to the square of the distance between the two masses. At this specific point, the gravitational pull from the Earth and the Moon balances out, resulting in a net force of zero. The discussion also touches on the importance of understanding distances in gravitational calculations, particularly when determining forces acting on objects in space. A diagram illustrating these forces can aid in visualizing the problem.
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Given that the distance between the Earth and the Moon is d = 3.84 x 10^8 m, show
that a satellite located exactly in-between the Earth and the Moon at a distance of
90% d from the Earth experiences no net force (at least when only the
gravitational force due to the Earth and the Moon at taken into account). Draw a
diagram showing the forces acting on the satellite.
 
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Welcome to PF.

And your attempt at the solution would be?
 
i don't even know what to do it, there was another 2 question about it which i got but i don't get this and the drawing..Help Please!
 
JorgeLuis said:
i don't even know what to do it, there was another 2 question about it which i got but i don't get this and the drawing..Help Please!

What's the equation for the force of gravity?

If there is a fixed distance between two bodies, isn't a distance to 1 from a point in between = to the fixed distance - the distance to the other?
 
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