Two stationary point charges of +60.0 uC and +50.0 uC exert a repulsive force on each other of 175 N. What is the distance between the two charges?

The value is

Explanation:

From the question we are told that

     The first point charge is

      The second point charge is  

     The repulsive force exerted is  

Generally the repulsive force  exerted is mathematically represented as

Here k is the coulomb constant with a value  

So

=>    

=>    

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west