Halliday, Resnick & Walker — Gravitation: Problem Problem_14

Three point particles are fixed in position in an \(xy\) plane. Two of them, particle A of mass \(6.00\text{ g}\) and particle B of mass \(12.0\text{ g}\), are shown in Fig. 13.19, with a separation of \(d_{AB} = 0.500\text{ m}\) at angle \(\theta = 30^\circ\). Particle C, with mass \(8.00\text{ g}\), is not shown. The net gravitational force acting on particle A due to particles B and C is \(2.77 \times 10^{-14}\text{ N}\) at an angle of \(-163.8^\circ\) from the positive direction of the \(x\) axis. What are (a) the \(x\) coordinate and (b) the \(y\) coordinate of particle C?