Question

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

Answer 1

Step-by-step explanation:

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

F =
`k (q_(1)q_(2))/(r^(2))`

where,
`q_(1) = q_(2) = 3.0 * 10^(-11) C`

r =
`8.0 * 10^(-5) m`

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

F =
`k (q_(1)q_(2))/(r^(2))`

=
`9 * 10^(9) (3 * 10^(-11) * 3 * 10^(-11))/((8.0 * 10^(-5))^(2))`

=
`1.265 * 10^(-3)` N

Thus, we can conclude that the given two grains will repel each other by a force of
`1.265 * 10^(-3)` N.