By what distance must two charges of +2 C and +10 C be separated so that the repulsive force between them is 3.70*10^10 N?
To find the distance between the two charges, you can use Coulomb's law. Coulomb's law states that the force between two charges is given by the equation:
F = (k * q1 * q2) / r^2
Where:
F is the force between the charges
k is the electrostatic constant (9 * 10^9 N m^2/C^2)
q1 and q2 are the magnitudes of the charges (+2 C and +10 C, respectively)
r is the distance between the charges
You have been given the value of the force, F, which is 3.70 * 10^10 N. Additionally, you know the values of the charges, q1 and q2, which are +2 C and +10 C, respectively.
So, we can rearrange the equation to solve for the distance, r:
r = sqrt((k * q1 * q2) / F)
Now, you can plug in the given values to calculate the distance:
r = sqrt((9 * 10^9 N m^2/C^2 * +2 C * +10 C) / (3.70 * 10^10 N))
By substituting these values into the equation and solving, you can find the distance between the charges, r.