Two points are fixed on an x axis seperated by distnace d. Particle A has mass m adn particle B has mass 3m. A third particle C, of mass 75.0m is to be placed on the x axis and near particles A and B. In terms of distance d, at what x coordinate should C be placed so that the net gravitational force on particle A from particles B and C is zero?

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Three dimensions. Three point particles are fixed in place in anxyz coordinate system. Particle A, at the origin, has mass mA.Particle B, at xyz coordinates (2.00d, 1.00d, 2.00d), has mass2.00mA, and particle C, at coordinates (-1.00d, 2.00d, -3.00d), hasmass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placednear the other particles. In terms of distance d, at what (a) x,(b) y, and (c) z coordinate should D be placed so that the netgravitational force on A from B, C, and D is zero?

I found the force for particle D, but i dont know how to get itinto components. The textbook answer uses Dx= D*cosÎ± for x,y,z withdifferent angles for each, but i have no idea how to find thoseangles...

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Particle A is fixed in place at x = -0.300 m on the x axis and particle B, with a mass of 3 kg, is fixed in place at the origin. Particle C (not shown) can be moved along the x axis, between particle B and x = 8. Figure 13-36b shows the x component Fnet,x of the net gravitational force on particle B due to particles A and C, as a function of position x of particle C. The plot actually extends to the right, approaching an asymptote of -4.12 × 10-10 N as x ? 8. What are the masses of (a) particle A and (b) particle C?

Two charges are fixed along a horizontal axis. One is located atthe origin and has a charge of 1.0ÂµC and the other is at x = 0.25mwith a charge of -2.0ÂµC. (a) Where would a third particle be placedso that the net electric force on it due to thepresence of the other two is zero? (b) If the third particle mustbe placed between the two fixed ones, where would it be placed sothat the net electric force on it would be minimized? (c) Ignoringthe third particle, where on the x-axis will the ELECTRIC FIELD bezero?

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