Three point particles are fixed in place in an xy plane. Particle A has mass mA = 5 g, particle B has mass 2.00 mA, and particle C has mass 3.00 mA. A fourth particle D, with mass 4.00 mA, is to be placed near the other three particles. What (a) x coordinate and (b) y coordinate should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero. please write the step by step process on paper.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 28PQ
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Three point particles are fixed in place in an
xy plane. Particle A has mass mA = 5 g, particle B
has mass 2.00 mA, and particle C has mass 3.00
mA. A fourth particle D, with mass 4.00 mA, is to
be placed near the other three particles. What (a) x
coordinate and (b) y coordinate should particle D
be placed so that the net gravitational force on
particle A from particles B, C, and D is zero.

please write the step by step process on paper.

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