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3. One balloon with 15,000 extra electrons is forced to touch an identical sized balloon with 3,000 extraelectrons.© 2023, Joanne C. Klouda, et. al, All Rights Reserveda. After the balloons reach static equilibrium (i.e. they share all excess charge equally), how many extraelectrons will each balloon have?b. What will be the charge on each balloon after they reach equilibrium?c. Will the balloons attract or repel each other? ATTRACT REPELd. If the balloons are 4 m apart, what is the magnitude of the electrostatic force they put on each other?

Question

  1. One balloon with 15,000 extra electrons is forced to touch an identical sized balloon with 3,000 extraelectrons.© 2023, Joanne C. Klouda, et. al, All Rights Reserveda. After the balloons reach static equilibrium (i.e. they share all excess charge equally), how many extraelectrons will each balloon have?b. What will be the charge on each balloon after they reach equilibrium?c. Will the balloons attract or repel each other? ATTRACT REPELd. If the balloons are 4 m apart, what is the magnitude of the electrostatic force they put on each other?
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Solution

a. The total number of extra electrons is 15,000 + 3,000 = 18,000 electrons. Since the balloons are identical and they share all excess charge equally, each balloon will have 18,000/2 = 9,000 extra electrons.

b. The charge of an electron is -1.6 x 10^-19 Coulombs. Therefore, the charge on each balloon will be 9,000 electrons * -1.6 x 10^-19 Coulombs/electron = -1.44 x 10^-15 Coulombs.

c. The balloons will repel each other. This is because they both have an excess of electrons, which means they both have a negative charge. Like charges repel each other.

d. The magnitude of the electrostatic force can be calculated using Coulomb's Law, which states that the force between two charges is equal to the product of the charges divided by the square of the distance between them, multiplied by the Coulomb constant (8.99 x 10^9 N m^2/C^2).

So, F = k * |q1*q2| / r^2

= 8.99 x 10^9 N m^2/C^2 * |-1.44 x 10^-15 C * -1.44 x 10^-15 C| / (4 m)^2

= 8.99 x 10^9 N m^2/C^2 * 2.0736 x 10^-30 C^2 / 16 m^2

= 1.16 x 10^-21 N.

So, the magnitude of the electrostatic force they put on each other is approximately 1.16 x 10^-21 Newtons.

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