Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass ma. Particle B, at xyz coordinates (3.00d, 1.00d, 3.00d), nas mass 4.00ma, and particle C, at coordinates (-2.00d, 1.00d, -1.00d), has mass 2.00mA. A fourth particle D, with mass 3.00ma, is to be placed near the other particles. If distance d = 4.50 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero?

Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass ma. Particle B, at xyz coordinates (3.00d, 1.00d, 3.00d), nas mass 4.00ma, and particle C, at coordinates (-2.00d, 1.00d, -1.00d), has mass 2.00mA. A fourth particle D, with mass 3.00ma, is to be placed near the other particles. If distance d = 4.50 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 17PQ

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Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 2.00d, 2.00d), has mass 4.00mA, and particle C, at coordinates (–3.00d, 2.00d, –3.00d), has mass 4.00mA. A fourth particle D, with mass 3.00mA, is to be placed near the other particles. If distance d = 4.20 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero?
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