There is a figure q1= 23 uC and q2= 16 uC. The force on q1 points in the -x direction.
q1 is at (0,1)
q2 is at (2,0)
q3 is at (2,2)
What is the magnitude of the force on q1?
I am doing this
(9*10^9)(23*16)(-4ihat)7^3
where did i go wrong?
It looks like you are using Coulomb's Law to calculate the magnitude of the force on q1. Coulomb's Law states that the magnitude of the electrostatic force between two charged objects is given by:
F = (k * |q1| * |q2|) / r^2
where F is the magnitude of the force, k is Coulomb's constant (9 * 10^9 N m^2/C^2), |q1| and |q2| are the magnitudes of the charges, and r is the distance between the two charges.
In your case, q1 = 23 uC and q2 = 16 uC. The distance between them is the distance between their respective positions: (0, 1) to (2, 0), which is √((2-0)^2 + (0-1)^2) = √5.
So, plugging these values into Coulomb's Law formula, you should have:
F = (9 * 10^9 N m^2/C^2) * |23 uC| * |16 uC| / (√5)^2
Note that the charges should be in absolute values because the force is scalar.
Once you evaluate this expression, you should get the magnitude of the force on q1.