# A charge of 2 C is at (4 , -6 ) and a charge of -1 C is at ( 2,-5 ). If both coordinates are in meters, what is the force between the charges?

Apr 19, 2017

$\text{The force between two electrical charges :} F = - 3.6 \cdot {10}^{9} N$

#### Explanation:

$\text{Since the sign of the electrical charges is opposite,they attract each other.}$
$\text{Note that The forces is opposite directions.}$

$\text{Firstly ,we should calculate the distance between two electrical charges.}$

$\text{let a represents the distance between two electrical charges.}$

${a}^{2} = {b}^{2} + {c}^{2}$

${a}^{2} = {\left(- 1\right)}^{2} + {2}^{2}$

${a}^{2} = 1 + 4 = 5$

$\text{The force that two electrical charges act each other, can be }$$\text{calculated using Coulomb's law.}$

$F = k \cdot \frac{{q}_{A} \cdot {q}_{B}}{a} ^ 2$

$F = \frac{9 \cdot {10}^{9} \cdot 2 \cdot \left(- 1\right)}{5}$

$F = - \frac{18 \cdot {10}^{9}}{5}$

$F = - 3.6 \cdot {10}^{9} N$