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A horizontal disk with radius R and charge density σ is centered originally. A particle with...

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Physics

A horizontal disk with radius R and charge density σ is centeredoriginally. A particle with charge Q and mass m is in equilibriumat a height h above the center of the plate, as shown. Agravitational field is present. R = 1.5 m σ = -5⋅10-7 C / m2 h = 2m Q = -2 µC a) Calculate the mass m of the particle if it is atequilibrium (use g = 9.81 m / s2 ). b) Calculate the electricpotentials created by the disc at the following two positions onthe Y axis: at y = 2 m and at y = 4 m. c) If we remove thegravitational field, calculate how fast the particle will reach theposition y = 4 m. d) In the absence of a gravitational field,calculate the external work required to bring the particle Q frominfinity to the center of the disc (i.e. y = 0 m), withoutvariation of speed. (Reminder: V∞ = 0)

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