# What is the force, in terms of Coulomb's constant, between two electrical charges of 16 C and -42 C that are 7 m  apart?

Feb 29, 2016

$F = - 106 , 64 \cdot {10}^{9} N$

#### Explanation:

$\text{Force between two charges is given by Coulomb's law }$
$F = k \cdot \frac{{q}_{1} \cdot {q}_{2}}{d} ^ 2$
$F = 9 \cdot {10}^{9} \cdot \frac{16 \cdot \left(- 42\right)}{7} ^ 2$
$F = - 9 \cdot {10}^{9} \cdot 16 \cdot \frac{\cancel{42}}{\cancel{7} \cdot 7}$
$F = - \frac{9 \cdot 16 \cdot 6 \cdot {10}^{9}}{7}$
$F = - 106 , 64 \cdot {10}^{9} N$