Which statement best explains the relationship between the electric force between two charged objects and the distance between them?

a.

as the distance increases by a factor, the electric force increases by the square of that factor.

b.

as the distance increases by a factor, the electric force increases by twice that factor.

c.

as the distance increases by a factor, the electric force decreases by twice that factor.

d.

as the distance increases by a factor, the electric force decreases by the same factor.

e.

as the distance increases by a factor, the electric force decreases by the square of that factor.

We can deduce the answer by evaluating the Coulomb’s Law.

The correct answer is (e).

Explanation:

Since the term related to the distance ‘r’ is in the denominator, it is inversely proportional to the electric force.

If the distance (r) increases by a factor of, for example, ‘3’, then the electric force would be decrease by the factor of ‘9’. So, it wouldn’t decrease by twice that factor, but decrease by the square of that factor.

science is a systematic and logical approach to discovering how things in the universe work. true to this definition, science aims for measurable results through testing and analysis. science is based on fact, not opinion or preferences. the process of science is designed to challenge ideas through research.

explanation:

answer: the answer is a