A charge of #2 C# is at #(4, 1 )# and a charge of #1 C# is at #( 2,5 )#. If both coordinates are in meters, what is the force between the charges?
1 Answer
Jul 11, 2017
Explanation:
We're asked to find the magnitude of the electric force
To do this, we can use the equation
where

#k# is Coulomb's constant, equal to#8.988xx10^9("N"•"m"^2)/("C"^2)# 
#r# is the distance, in#"m"# , between the point charges
This distance is found via the distance formula:
#r = sqrt((42)^2 + (1(5))^2) = color(red)(7.21# #color(red)("m"#
Plugging in known values, we have