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11th grade Coulomb's law: the force between charges worksheet

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Coulomb's law: the force between charges

Grade 11 Science Worksheet

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Circle the best answer, or write your answer on the line.

  1. Two small spheres carry 20 nC and 30 nC, 10 cm apart. With k = 8.9875 × 10⁹ N·m²/C², what is the force between them in mN, to the nearest hundredth, Ari?

  2. Two small spheres carry 100 nC and 100 nC, 20 cm apart. With k = 8.9875 × 10⁹ N·m²/C², what is the force between them in mN, to the nearest hundredth, Esme?

  3. How are Coulomb's law and Newton's law of gravitation alike, Jun?

    • Both are inverse squares of distance
    • Both use the same constant
    • Both need the objects to touch each other
  4. How do the electric and gravitational forces differ in direction, Kira?

    • They are the same
    • Gravity can repel, but electric forces can't
    • Electric forces can also repel
  5. Two balloons each carry a small charge and a small mass. Which force between them is stronger, Luz?

    • The electric force, by far
    • The gravitational force, by far
    • They are about equal
  6. Using the table, what force should act at 8 cm, Milo?

    • 9 mN
    • 2.25 mN
    • 3 mN
  7. Using the table, how does the force change from 2 cm to 6 cm, Noah?

    Use the picture in question 6.

    • It drops by 32 mN each centimeter
    • It drops to one-ninth
    • It drops to one-third
  8. Using the table's pattern, what force would act at 1 cm, Pia?

    Use the picture in question 6.

    • 144 mN
    • 72 mN
    • 37 mN
  9. Two negatively charged balloons hang on strings. What happens as they are brought closer, Ren?

    • They push apart more weakly than before
    • They push apart more strongly
    • They start to attract
  10. Two balloons are rubbed longer, so each carries more charge. How does the force between them change, Zee?

    • It stays the same
    • It gets weaker
    • It gets stronger
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11th grade Coulomb's law: the force between charges worksheet – printable
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About this worksheet

Coulomb's law: the force between charges. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use F = kq₁q₂ ÷ r² with k = 8.9875 × 10⁹ N·m²/C², with charges in nC, distances in cm and forces in mN.
  • I can scale forces. Each charge counts once, while distance counts squared: twice as far gives one-quarter, and half as far gives 4 times. I can find the distance that gives a chosen force.
  • I can say that like charges repel and unlike attract, with equal and opposite forces. I can add forces from neighbors in a line.
  • I can compare Coulomb's law with gravity: both are inverse squares, but only electric forces repel, and electric forces are far stronger.

Standard: HS-PS2-4

Words to know

Coulomb's law: F = kq₁q₂ ÷ r², the force between two charges

k: Coulomb's constant: 8.9875 × 10⁹ N·m²/C²

inverse square: The force falls as 1 ÷ distance²

nanocoulomb (nC): 10⁻⁹ coulombs, a typical charge for a rubbed balloon

net force: The total of all forces on an object, with directions

Common mistakes

Your child divided by the distance factor, not its square. Coulomb's law is an inverse square: twice as far, one-quarter the force.

Your child did not square the distance. F = kq₁q₂ ÷ r².

Your child left out the square root. Rearranging F = kq₁q₂ ÷ r² gives r = √(kq₁q₂ ÷ F).

Questions parents ask

What is the most common mistake with coulomb's law: the force between charges?

Your child divided by the distance factor, not its square. Coulomb's law is an inverse square: twice as far, one-quarter the force.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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