How Do You Calculate Net Gravitational Force on Aligned Particles?

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SUMMARY

The net gravitational force on aligned particles can be calculated using Newton's law of universal gravitation, represented by the formula F = G * M * m / r². In this discussion, three particles with masses ma = 363 kg, mb = 517 kg, and mc = 154 kg are positioned in a straight line with specified distances between them. The gravitational forces acting on each particle must be summed to determine the net force, taking into account the direction of the forces, where end particles are attracted towards the middle particle, which experiences forces from both sides.

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ludakrishna
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Three particles far away from any other objects are located on a straight line. The masses of these particles are ma = 363kb, mb= 517 kg, and mc = 154kg. Find the magnitude and direction of the net graviational force actiong on particle a, particle b, and particle c. The distance between a and b is .500m from center point to center point. And the distance between b and c is .250m.



F = G * M * m/r^2



do i just solve it using the equation above. F = G * 363 * 517 / .250^2. If so, how do i figure out the direction if it is on a line.
 
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Be thankful its on a line, what is being asked for is the direction of the force. Hint: the particles on the end will be "pulled" toward the others, but the middle particle has a choice.
In each case you have to sum the forces exerted by the other two particles on the third.
 

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