Particle 1 carrying charge (+4 q) is fixed at the origin of a rectangular coordinate system, particle

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Particle 1 carrying charge \(+4 q\) is fixed at the origin of a rectangular coordinate system, particle 2 carrying charge \(-q\) is fixed \(15.0^{\circ}\) above the positive horizontal axis, and particle 3 carrying charge \(-q\) is fixed \(15.0^{\circ}\) below the positive horizontal axis (Figure P22.53). Particles 2 and 3 are both \(2.00 \mathrm{~m}\) from the origin. You must add two charged particles to the system in such a way that the vector sum of the electric forces exerted on particle 1 is zero. What quantity of which type of charge must each added particle carry, and at what locations must you place the particles?

Data from Figure P22.53

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