two point charges have a total charge of 277 µC. When placed 2.00 m apart, the force each exerts on the other is 20.8 N and is repulsive.

what are the charges on both?

1 answer

Let the two charges be Q1 and Q2

Q1 + Q2 = 277 µC

k*Q1*Q2 /R^2 = 20.8 Newtons

Two equations; two unknowns.

k is the Coulomb constant. Look it up if you need to.

R = 2.00 m

Take it from there; it's just algebra.