24. Electric Force & Field; Gauss' Law

Which of the following best describes Coulomb’s Law for the electrostatic force between two point charges?

Suppose you had two small boxes, each containing $1.0$ g of protons.

(a) If one were placed on the moon by an astronaut and the other were left on the earth, and if they were connected by a very light (and very long!) string, what would be the tension in the string? Express your answer in newtons and in pounds. Do you need to take into account the gravitational forces of the earth and moon on the protons? Why?

(b) What gravitational force would each box of protons exert on the other box?

According to Coulomb's Law, what happens to the magnitude of the electric force between two point charges if the distance between them doubles? $F=\frac{k{q}_1{q}_2}{r^2}$

According to Coulomb's Law, what is the magnitude of the electric force between two point charges $q_1$ and $q_2$ separated by a distance $r$ in vacuum?

According to Coulomb's Law, how does the magnitude of the electric force between two point charges change as the distance between them increases?

According to Coulomb's Law, what is the magnitude of the electric force between two point charges $q_1$ and $q_2$ separated by a distance $r$ in vacuum?

Two protons, starting several meters apart, are aimed directly at each other with speeds of $2.00\times {10}^5$ m/s, measured relative to the earth. Find the maximum electric force that these protons will exert on each other.

CALC A uniform electric field’s strength is increasing with time as $E=(1.5\times {10}^4+(5.0\times {10}^{10}{\text{s}}^{-1}\left)t\right)\text{N/C}$. A proton is released in the field from rest at t = 0. What is the proton’s speed 1.0 μs later?

Two point charges, $q_a$ and $q_b$, are separated by a distance $r$. What is the magnitude of the electric force on charge $q_a$ due to $q_b$ according to Coulomb's Law?

What is the force F on the 1.0 nC charge in FIGURE EX22.20? Give your answer as a magnitude and a direction.

If the force between two charges is F when the distance is d, what will the force between the two charges be if they were moved to a distance of 2d?

In which direction will the −1 C charge move? If it has a mass of 10 g, what will its initial acceleration be?

What is the direction of the net force on the charge at the center of the square in the following figure?