AP Physics 2 - Point Charges

You have two charges on an axis. One charge of $-2\mu C$ is located at the origin, and the other charge of $-8\mu C$ is located at 4m. At what point along the axis is the electric field zero?

$8.99 \cdot 10^9\frac{N\cdot m^2}{C^2}$

Charge moving through e field

Suppose there is a frame containing an electric field that lies flat on a table, as shown. A positively charged particle with charge and mass is shot with an initial velocity $v_{i}$ at an angle $\theta$ to the horizontal. If this particle begins its journey at the negative terminal of a constant electric field , which of the following gives an expression that denotes the amount of time this particle will remain in the electric field before it curves back and reaches the negative terminal?

Charge moving through e field

Suppose there is a frame containing an electric field that lies flat on a table, as is shown. A positively charged particle with charge and mass is shot with an initial velocity $v_{i}$ at an angle $\theta$ to the horizontal. If this particle begins its journey at the negative terminal of a constant electric field , which of the following gives an expression that signifies the horizontal distance this particle travels while within the electric field?

A charge of $9\mu C$ is at , and a charge of $4\mu C$ is at . At what point on the x-axis is the electric field 0?

Imagine two point charges separated by 5 meters. One has a charge of $5 \ \mu \textup{C}$ and the other has a charge of $-2 \ \mu \textup{C}$ . What is the magnitude of the force between them? Is it attractive or repulsive?

At $2\textup{ m}$ away from a point charge, the electric field is $15\ \frac{\textup{N}}{\textup{C}}$ , pointing towards the charge. Determine the value of the point charge.

Imagine two point charges 2m away from each other in a vacuum. One of the charges has a strength of $3\mu C$ . If the force between the particles is 0.0405N, what is the strength of the second charge?