Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of dAB = 0.511 m at angle Θ = 30°. Particle C, with mass 9 g, is not shown. The net gravitational force acting on particle A due to particles B and C is 2.56 x 10-14 N at an angle of -163.8°. from the positive x axis. What are (a) the x coordinate and (b) the y coordinate of particle C?

Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of dAB = 0.511 m at angle Θ = 30°. Particle C, with mass 9 g, is not shown. The net gravitational force acting on particle A due to particles B and C is 2.56 x 10-14 N at an angle of -163.8°. from the positive x axis. What are (a) the x coordinate and (b) the y coordinate of particle C?

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Question

Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of d_AB = 0.511 m at angle Θ = 30°. Particle C, with mass 9 g, is not shown. The net gravitational force acting on particle A due to particles B and C is 2.56 x 10^-14 N at an angle of -163.8°. from the positive x axis.

What are (a) the x coordinate and (b) the y coordinate of particle C?

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