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    Gravitational force net

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    A 21.0 kg sphere is at the origin and a 5.00 kg sphere is at (x,y) = (20cm,0cm). At what point can you place a small mass, such that the net gravitational force on it, due to the sphere's is zero?

    © BrainMass Inc. brainmass.com December 24, 2021, 10:25 pm ad1c9bdddf
    https://brainmass.com/physics/applied-physics/gravitational-force-net-474340

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    The gravitational force between two masses is given by:
    (1.1)
    Where G is the gravitational constant and r is the distance between the masses.
    Let M be between M1 (distance ) and mass M2 (distance )
    For the mass M to be at rest, the magnitude gravitational pull applied by M1 must be equal to the magnitude of the gravitational pull applied by M2:
    (1.2)
    If the distance between M1 and M2 is R then
    (1.3)
    Plugging this in (1.2) we get:

    (1.4)

    Solving the quadratic equation:

    (1.5)
    If we set then since we cannot have the correct solution is:
    (1.6)
    In our case, let M1 be the heavier mass at the origin, then:

    The mass must be positioned at a distance from the origin along the x axis.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 10:25 pm ad1c9bdddf>
    https://brainmass.com/physics/applied-physics/gravitational-force-net-474340

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