When sugar is poured from the box into the sugar bowl, the rubbing of sugar grains creates a static electric charge that repels the grains, and causes sugar to go flying out in all directions. If each of two grains acquires charge of 3.0 X 10-11 C at a separation of 8.0 X 10-5 m, with what force with they repel each other

Respuesta :

Explanation:

In order to calculate the force, we will use the following formula.

                    F = [tex]k \frac{q_{1}q_{2}}{r^{2}}[/tex]

where,    [tex]q_{1} = q_{2} = 3.0 \times 10^{-11} C[/tex]

                r = [tex]8.0 \times 10^{-5} m[/tex]

Therefore, we will put the given values into the above formula as follows.

                 F = [tex]k \frac{q_{1}q_{2}}{r^{2}}[/tex]

                    = [tex]9 \times 10^{9} \frac{3 \times 10^{-11} \times 3 \times 10^{-11}}{(8.0 \times 10^{-5})^{2}}[/tex]

                    = [tex]1.265 \times 10^{-3}[/tex] N

Thus, we can conclude that the given two grains will repel each other by a force of [tex]1.265 \times 10^{-3}[/tex] N.