# A charge of 2 C is at (1,4 ) and a charge of -1 C is at 2 ,-5) . If both coordinates are in meters, what is the force between the charges?

Mar 4, 2016

$F \cong 0 , 22 \cdot {10}^{9} \text{ } N$
$\overline{A B} = \sqrt{{9}^{2} + {1}^{2}} = \sqrt{82} \text{ } m$
$\text{Force between two charges is given by Coulomb's law}$
$F = \frac{k \cdot {q}_{1} \cdot {q}_{2}}{d} ^ 2 = \frac{9 \cdot {10}^{9} \cdot 2 \cdot \left(- 1\right)}{82} = - \frac{18 \cdot {10}^{9}}{82}$
$F \cong 0 , 22 \cdot {10}^{9} \text{ } N$