Problem 1: Suppose 1.65 x 1020 electrons move through a pocket calculator during a full day's operation. How many coulombs of charge move through it? Q = Problem 2: Suppose a speck of dust in an electrostatic precipitator has Np = 3.1? x 101? protons in it and carries a net charge of Q = -19 nC. Let qre re present the charge of an electron. Part (:1) Enter an expression for the number of electrons Ne in the speck of dust in terms of the charge of an electron, g9, and other variables from the problem statement. Ne = Part (1)) How many electrons are in the speck of dust? NE = Problem 3: Assume a certain ve cent coin is made of pure nickel and has a mass of 5.15 grams. The atomic mass of nickel is 58.7. and each nickel atom contains 28 electrons and 28 protons. What fraction of the nickel atoms\" electrons. removed and held 1.00 m above the coin, would support the coin's weight? N/Nmml = Problem 4: Suppose there is a 3.5 X 10!5 NFC electric eld in some region. Calculate the magpitude of the acceleration. in meters per second squared, of a proton from rest in such an electric eld. a = Problem 6: Point charges located at 3. 8. and 11 cm along the x-axis are represented in the gure. litimwlu-I11.1.1um What is the x-component of the force on the charge located at x = 8 cm given that q = 1.05JLC? Give your answer in newtons. PX: Problem 7: A free electron is suspended in an electric field nearthe surface of the Earth. Part (:1) Give an expression for the magnitude of this electric eld assuming the electron is stationary, in terms of the mass me and charge 8 of the electron, and the gravitational acceleration g. E = Part (b) What is the magnitude of this electric eld, in N/C, assuming the electron is stationary? E = Problem 8: A ba re helium nucleus consists of two protons and two neutrons and has a mass of 6.64 x 10'\" kg. Part (a) Calculate its kinetic energy in ioules at 2.00% of the speed of light. Use the non-relativistic formula. K = Part (b) What is this in electron volts? K = Part (c) What voltage would be needed to obtain this energy? V = Problem 10: In the coordinate system shown in the gure. particle 1 with charge q; = ".5 11C is located at coordinates (mm) = (-3. 0) m and particle 2 with charge q; = -1 .5 uC is located at coordinates (X3313) = (1, 0) m. 1 2 [-3, U] [1, 0| "l[ti-H|1rl'1|;).('|:l11 Part (b) Solve for the numerical value of re. 350 = Part ((1) Solve for the numerical value of E0, in newtons per coulomb. E9 = NW1