Question

question 7 (4 points)
what does your force vs distance graph show about the relationship between the distance between the objects and the force they experience?
as distance increases, force increases by the same factor.
as distance increases, force increases, but not by the same factor.
as distance increases, force decreases by the same factor.
as distance increases, force decreases, but not by the same factor.

Explanation:

The relationship between force (specifically gravitational or electrostatic force, the common inverse square forces) and distance follows an inverse square law: $F \propto \frac{1}{r^2}$. This means as distance $r$ increases, force $F$ decreases, and the factor of decrease is not the same as the factor of distance increase (e.g., if distance doubles, force decreases by a factor of 4).

Answer:

As distance increases, force decreases, but not by the same factor.