A balloon rubbed against denim gains a charge of -8.0 uC. What is the electric force between the balloon and the denim when the two are separted by a distance of 5.0 cm? (Assume that the charges are located at a point!)
wheres the work?
2634.68756
To calculate the electric force between two charges, we can use Coulomb's Law equation:
F = (k * |q1 * q2|) / r^2
Where:
F is the electric force between the two charges,
k is the electrostatic constant (k = 8.99 x 10^9 N m^2 / C^2),
q1 and q2 are the magnitudes of the charges, and
r is the distance between the charges.
In this case, the charge of the balloon is -8.0 uC (microCoulombs). However, we need to convert it to Coulombs by using the conversion factor:
1 Coulomb (C) = 10^6 microCoulombs (uC)
So, -8.0 uC = -8.0 x 10^-6 C
Given:
q1 = -8.0 x 10^-6 C
r = 5.0 cm = 5.0 x 10^-2 m
Now, we have all the values needed to calculate the electric force between the balloon and the denim:
F = (k * |q1 * q2|) / r^2
F = (8.99 x 10^9 N m^2 / C^2) * (-8.0 x 10^-6 C * q2) / (5.0 x 10^-2 m)^2
However, the question does not provide the charge of the denim. So, we cannot calculate the exact value of the electric force between the balloon and the denim without this information.