Electric fields describe the interaction of stationary charged matter. They underlie the working of diverse technology from atom smashers to the poor cell reception you're getting right now.

A charge of \( q = 4.0 \text{ C}, \) initially away from a fixed point charge of \( 1.0 \text{ nC} \) by a distance of \( r_1 = 7.0 \text{ m}, \) moves closer to a point where the distance is \(r_2= 1.0 \text{ m}. \) What is the approximate work done to the charge?

Assume that electric constant is \( \epsilon_0 = 8.9 \times 10^{-12} \text{ F/m}. \)

Two identical charges with charge \( q= 4 \times 10^{-4} \text{ C} \) and mass \( m = 3 \text{ g} \) are fixed \( r =1.2 \text{ cm} \) apart. Another identical charge is shot from infinity and stops midway between the two. What is its approximate initial speed?

Assume that electric constant is \( \epsilon_0 = 8.9 \times 10^{-12} \text{ F/m}. \)

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