2. Three particles. Two protons, each with charge e, are on the y-axis and are equidistant from the origin at a = 0.15 m. A third charged particle 2e is moved gradually along the z-axis from x = 0 to z = 2.0 m. At what values of a will the magnitude of the net electrostatic force on the third particle from the other two particles be (a) minimum and (b) maximum? What are the corresponding (c) minimum and (d) maximum magnitudes of the force? (e) Plot the calculated net force on the third particle as a function of . 3. Electron's trajectory. Consider an electron with an initial velocity of magnitude to directed at an angle below the horizontal. It enters a uniform electric field E that points vertically downward and is projected into the field. (a) Sketch the electron's trajectory within this uniform field. (b) Use your knowledge of kinematics to find the maximum vertical distance max that the electron reaches from its initial elevation. (c) Obtain the horizontal distance d it covers before it returns to its original elevation. (d) Find the numerical values of max and d if E = 250 N/C, 0 = 8.0×105 m/s, and @ 30.0°. Ignore gravitational force effects. =
2. Three particles. Two protons, each with charge e, are on the y-axis and are equidistant from the origin at a = 0.15 m. A third charged particle 2e is moved gradually along the z-axis from x = 0 to z = 2.0 m. At what values of a will the magnitude of the net electrostatic force on the third particle from the other two particles be (a) minimum and (b) maximum? What are the corresponding (c) minimum and (d) maximum magnitudes of the force? (e) Plot the calculated net force on the third particle as a function of . 3. Electron's trajectory. Consider an electron with an initial velocity of magnitude to directed at an angle below the horizontal. It enters a uniform electric field E that points vertically downward and is projected into the field. (a) Sketch the electron's trajectory within this uniform field. (b) Use your knowledge of kinematics to find the maximum vertical distance max that the electron reaches from its initial elevation. (c) Obtain the horizontal distance d it covers before it returns to its original elevation. (d) Find the numerical values of max and d if E = 250 N/C, 0 = 8.0×105 m/s, and @ 30.0°. Ignore gravitational force effects. =
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