# Two charges of  -4 C  and  -2 C are positioned on a line at points  -1  and  14 , respectively. What is the net force on a charge of  -2 C at  1 ?

May 1, 2016

$\text{The magnitude of the net force " |F|=1,779*10^10 " N}$

#### Explanation:

${F}_{A} = \frac{k \cdot \left(- 4\right) \cdot \left(- 2\right)}{2} ^ 2 = \frac{8 k}{4} = 2 k$

${F}_{B} = \frac{k \cdot \left(- 2\right) \cdot \left(- 2\right)}{13} ^ 2 = \frac{4 k}{169}$

${F}_{A} > {F}_{B}$

${F}_{\text{net}} = {F}_{A} - {F}_{B}$

${F}_{\text{net}} = 2 k - \frac{4 k}{169}$

${F}_{\text{net}} = \frac{338 k - 4 k}{169}$

${F}_{\text{net}} = \frac{334 k}{169}$

$k = 9 \cdot {10}^{9} N \cdot {m}^{2} \cdot {C}^{-} 2$

${F}_{\text{net}} = \frac{334 \cdot 9 \cdot {10}^{9}}{169}$

${F}_{\text{net}} = 17 , 79 \cdot {10}^{9}$

${F}_{\text{net"=1,779*10^10 " N}}$