- #1

zachem62

- 37

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## Homework Statement

Show that the magnitude of the electric force on each ball is given by

Fe = mgtanθ/ (cosα+ sinαtanθ)

where θ = arcsin(x2/L)

α = arcsin((y2-y1)/r)

r = √((x2-x1)^2+(y2-y1)^2)

This is a question from my coulomb's law lab, where 2 styrofoam balls where charged, one was hung on a string and the other was brought closer to it from 20cm away and the change in the hanging ball position was recorded. (x2,y2) is the position of the hanging ball, and (x1,y1) is the position of the other ball that is moving closer to the hanging ball. r is the separation distance between the 2 balls. L is the length of the string that the ball is hung on. If this is not clear enough, please see these links:

question: https://imgur.com/a/IrkZl

diagram: https://imgur.com/a/UzzMu

2. Homework Equations

2. Homework Equations

## The Attempt at a Solution

I am pretty confused about how to approach this problem. I drew the free body diagram for the ball and split the forces into their x and y components so derive Fe, and that hasn't got me anywhere. Whats a better way to do this?

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