Question

Pilar rubs two balloon against her hair. Each balloon becomes negatively charged with equation. She holds the balloons 0.7 m apart.

a) What is the force between the two balloons?

b) Is this force attractive or repulsive?

Question 21 options:

1)

0.73 N, repulsive

2)

0.73 N, attractive

3)

0.018. repulsive

4)

0.018, attractive

Answer 1

a) Magnitude of the electrostatic force: 0.073 N

b) The force is repulsive

Explanation:

a)

The magnitude of the electrostatic force between two charged objects is given by Coulomb's law:

$F=k\frac{q_1 q_2}{r^2}$

where:

$k=8.99\cdot 10^9 Nm^{-2}C^{-2}$ is the Coulomb's constant

$q_1, q_2$ are the charges of the two objects

r is the separation between the two objects

For this problem, we have:

$q_1=q_2=-2.0\cdot 10^{-6} C$ is the charge on each balloon

r = 0.7 m is the distance between the balloons

Substituting into the equation, we find

$F=(8.99\cdot 10^9)\frac{(-2.0\cdot 10^{-6})^2}{(0.7)^2}=0.073 N$

b)

The sign of the electrostatic force between two charged objects depends on the sign of the two charges.

In particular, we have:

• If the two charges have  same  sign (so, both positive or both negative), the sign of the force is positive --> so the two objects repel each other
• If the two charges have opposite  sign (so, one positive and the other negative), the sign of the force is negative --> so the two objects attract each other

In this case, the two balloons have both same negative charge: therefore, the electrostatic force between them is repulsive.

Learn more about electric force:

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