Final answer:
The work required to move charge 2 towards charge 1 can be calculated using the formula: Work = Force x Distance. Calculate the electric force between the charges using the formula: Force = (k * |q1 * q2|) / r^2, where k is the electrostatic constant, q1 and q2 are the charges, and r is the distance. Then, calculate the work by multiplying the magnitude of the force by the distance.
Step-by-step explanation:
To calculate the work required to move charge 2 towards charge 1, we can use the formula:
Work = Force x Distance
First, let's calculate the electric force between the two charges using the formula:
Force = (k * |q1 * q2|) / r^2
Where k is the electrostatic constant (9 x 10^9 N m^2/C^2), q1 and q2 are the charges of the two charges, and r is the distance between the charges.
Plugging in the values:
Force = (9 x 10^9 N m^2/C^2 * |1.1 x 10^-5 C * 10^-6 C|) / (5 m)^2
Now, calculate the work:
Work = (Force x Distance)
Work = (Force x (4 m - 5 m))
Make sure to take into account the direction of the force. Since charge 2 is being moved towards charge 1, the force will be negative, indicating work is being done on charge 2.
Therefore, the work required to move charge 2 is the magnitude of the force multiplied by the distance, and the force is negative because it is acting opposite to the direction of motion.