Coulomb constant: Ke = 8.9876 x 10^9 (Nm^2/C) Consider a system of two identical point charges, held fixed in place, each of charge q = -6.40 x 10^-6 C. One of the point charges is located at the origin (0, 0). (a.) The electric force on the charge at the origin is F = 9.20 N (+ j). What is the location of the second charge, expressed in Cartesian/x-y coordinates? Provide your answer in units of meters. The location of one of the point charges is changed: One remains fixed at the origin; the second point charge is moved to the point (+d, 0), on the positive x-axis, and held fixed there. Let d = 3.00 cm = 0.0300 m. Recall. the charge on each is q = -6.40 x 10^-6 C. (b.) What is the electric potential at the point (0, +d) on the positive y-axis due the system of two point charges (which are now located at the origin and at +d on the x-axis)? Please enter your answer in units of Volts [V], and assume a reference potential of Vinfinity = 0 at infinity. (c.) If a third point charge charge q = -6.40 x 10^-6 C with mass m = 4.40 x 10^-8 kg is free to move, and it starts from rest at the point (0, +d), what will its speed be once it moves a very, very, very long distance away from the two charges fixed on the x-axis? Please enter your answer in units of m/s.
Coulomb constant: Ke = 8.9876 x 10^9 (Nm^2/C)
Consider a system of two identical point charges, held fixed in place, each of charge q = -6.40 x 10^-6 C. One of the point charges is located at the origin (0, 0).
(a.) The electric force on the charge at the origin is F = 9.20 N (+ j). What is the location of the second charge, expressed in Cartesian/x-y coordinates? Provide your answer in units of meters.
The location of one of the point charges is changed: One remains fixed at the origin; the second point charge is moved to the point (+d, 0), on the positive x-axis, and held fixed there. Let d = 3.00 cm = 0.0300 m. Recall. the charge on each is q = -6.40 x 10^-6 C.
(b.) What is the electric potential at the point (0, +d) on the positive y-axis due the system of two point charges (which are now located at the origin and at +d on the x-axis)? Please enter your answer in units of Volts [V], and assume a reference potential of Vinfinity = 0 at infinity.
(c.) If a third point charge charge q = -6.40 x 10^-6 C with mass m = 4.40 x 10^-8 kg is free to move, and it starts from rest at the point (0, +d), what will its speed be once it moves a very, very, very long distance away from the two charges fixed on the x-axis? Please enter your answer in units of m/s.
(d.) What is the electric potential energy of the system of three point charges when one is at the origin, one is located on the x-axis at the point (+d, 0), and one is located on the y-axis at the point (0, +d)?
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