If you separate the socks with equal charges 4 x10-9 C until they’re 7 cm apart, what force will each sock exert on the other?
To calculate the force between two charged objects, you can use Coulomb's law. Coulomb's law states that the force (F) between two charged objects is directly proportional to the product of their charges (q1 and q2) and inversely proportional to the square of the distance (r) between them. The formula is as follows:
F = (k * |q1 * q2|) / r^2
Where:
F is the force between the two socks
k is Coulomb's constant (k ≈ 9 x 10^9 N m^2 / C^2)
|q1 * q2| is the absolute value of the product of the charges of the two socks
r is the distance between the two socks
Given the information in the question, we know that the charges of the socks are equal and have a value of 4 x 10^-9 C. The distance between them is 7 cm, which is equivalent to 0.07 m.
Now let's substitute the values into the formula:
F = (k * |q1 * q2|) / r^2
= (9 x 10^9 N m^2 / C^2) * |(4 x 10^-9 C) * (4 x 10^-9 C)| / (0.07 m)^2
By simplifying this equation and calculating the numeric expression, we can find the force exerted by each sock on the other.