Express your answer numerically in coulombs. q = __________________ c please hel

Question

Express your answer numerically in coulombs. q = __________________ c please help In an inkjet printer, letters and images are created by squirting drops of ink horizontally at a sheet of paper from a rapidly moving nozzle. The pattern on the paper is controlled by an electrostatic valve that determines at each nozzle position whether ink is squirted onto the paper or not. The ink drops have a mass m = 1.0010^-11 kg each and leave the nozzle and travel horizontally toward the paper at velocity v = 21.0 m/s. The drops pass through a charging unit that gives each drop a positive charge q by causing it to lose some electrons. The drops then pass between parallel deflecting plates of length D_0 = 1.60 cm, where there is a uniform vertical electric field with magnitude E = 7.90 10^4 N/C. If a drop is to be deflected a distance d = 0.280 mm by the time it reaches the end of the deflection plate, what magnitude of charge q must be given to the drop? Assume that the density of the ink drop is 1000 kg/m^3, and ignore the effects of gravity. q = __________________ c please help

Explanation / Answer

Given that the ink drops having a mass m = 1.00 *10^-11 kg length of the deflecting plates is D_0 = 1.60 cm uniform electric field is E = 7.90 *10^4 N/C deflected distance d = 0.280mm acceleration of the particle along y axis is a = Eq / m   time taken by the particle to pass through the plates is t = D_0 / v_x         displacement in y - direction y = 1/2 at^2                                                         = 1/2 ( Eq / m ) ( D_0 / v_x )^2                              charge is q = 2 m y v_x^2 / Ex^2      = 2 (1.00 *10^-11 kg  )(0.280*10^-3m)(21.0m/s)^2 /  7.90 *10^4 N/C * ( 1.60*10^-2)^2     = 12.2 *10^-14 C                                     

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