- #1
Cimino54
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- 1
Homework Statement
Four charges,
q1 = +145 µC, q2 = +55 µC, q3 = −150 µC, and q4 = +27 µC,
are fixed at the corners of a 4 m by 5 m rectangle, as illustrated in the figure below. What are the magnitude (in N) and the direction (in degrees counterclockwise from the +x-axis) of the net force acting on q1? (Assume the x-axis extends from q1 to the right.)
Homework Equations
1. Fe = (kq1q2)/(r2)
2. a2 + b2 = c2
3. Fx = Fsinθ
4. Fy = Fcosθ
The Attempt at a Solution
1. I determined the distance between charges 1/3 & 2/4 using Pythagorean theorem.
2. I solved for the forces between all charges using equation 1. I solved for the forces between 1/2, 3/4, 1/4, 2/3, 1/3, and 2/4.
3. I resolved forces 1/3 and 2/4 into x and y components using equations 3 & 4.
4. I add all x components together and all y components together.
5. I used equation 2 to get the overall magnitude of the x+y components.