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Homework #1: due Friday January 31 by 5:15:00pm
 problem 1.35 in your textbook. This is a simple use of the old physics2 expression for the electric force, F=kq_{1}q_{2}/r^{2}, with k=1/(4πε_{0})=8.99x10^{9}N⋅m^{2}/C^{2}. When I worked this, I used the mass of the electron is m_{e}=9.11x10^{31}kg. But that's just out of habit.
 Find the unit vector that points from (x,y)=(4.5, 7.6) towards (x,y)=(3.4, 6.9). Show your work. Your final answer needs to have the separate x and ycomponents shown explicitly as I did in class.
 Find the unit vector that points from (x,y)=(5.2cm, 3.1cm) towards (x,y)=(3.4cm, 6.9cm). Show your work. Your final answer needs to have the separate x and ycomponents shown explicitly as I did in class.
 The electric field E at the surface of Earth has an average magnitude of E=120 N/C, and points towards Earth's surface. The average radius of Earth is 6,370km.
a. Find the magnitude of the net charge on Earth.
b. Explain (that's more than one word) whether this charge is positive or negative, and how you know this.
 Three concentric metal spheres have the following radii and charges: r_{1}=10cm, q_{1}=()12μC; r_{2}=25cm, q_{2}=(+)18μC; r_{3}=45cm, q_{3}=()15μC. Find the magnitude and list the direction of the electric field E at the following distances from the center: (a)6.0cm, (b) 30cm, (c) 62cm.
That's all for homework #1.
