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!)

1.64e12

To determine the electric force between the balloon and the denim, we need to use Coulomb's Law.

Coulomb's Law states that the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

The formula for Coulomb's Law is:

F = (k * |q1 * q2|) / r^2

Where:
F is the electric force between the two objects,
k is the electrostatic constant (9.0 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.

Given that the balloon gains a charge of -8.0 μC, we can use this value for |q1|.

Now let's calculate the force:

|q1| = 8.0 μC = 8.0 x 10^-6 C
|q2| is the charge on the denim, but it is not given in the problem. We'll assume it is 0 for simplicity.

r = 5.0 cm = 0.05 m

Plugging these values into Coulomb's Law, we have:

F = (9.0 x 10^9 N*m^2/C^2) * (|q1| * |q2|) / r^2
= (9.0 x 10^9 N*m^2/C^2) * (8.0 x 10^-6 C * 0) / (0.05 m)^2
= 0

Therefore, the electric force between the balloon and the denim is 0 N when they are separated by a distance of 5.0 cm.

To calculate the electric force between the balloon and the denim, we can use Coulomb's law:

Electric force (F) = (k * |q1 * q2|) / r^2

Where:
- F is the electric force
- k is the electrostatic constant (9 x 10^9 Nm^2/C^2)
- q1 and q2 are the charges of the two objects
- r is the distance between the charges

Given that the charge of the balloon is -8.0 uC, we can convert it to SI units:
q1 = -8.0 x 10^-6 C

Since the question states that the charges are located at a point, the charge of the denim is 0 C:
q2 = 0 C

The distance between the charges is 5.0 cm, which we convert to meters:
r = 5.0 x 10^-2 m

Using these values, we can substitute them into Coulomb's law to calculate the electric force (F):

F = (k * |q1 * q2|) / r^2
= (9 x 10^9 Nm^2/C^2 * |(-8.0 x 10^-6 C) * 0 C|) / (5.0 x 10^-2 m)^2

As the denominator becomes (5.0 x 10^-2 m)^2 = 2.5 x 10^-3 m^2, the equation becomes:

F = (9 x 10^9 Nm^2/C^2 * (-8.0 x 10^-6 C) * 0 C) / 2.5 x 10^-3 m^2

Since one of the charges is 0 C, the overall value of the equation becomes 0:

F = 0

Thus, the electric force between the balloon and the denim when separated by a distance of 5.0 cm is 0 N.