Question

: Compare the force factors to the 1/distance2 values in your table. What is the relationship between these values?

Answer 1

They should match by an inverse‑square relationship. In symbols:
F ∝ 1/d^2 → F = k·(1/d^2),
so the force factors should be proportional to the 1/distance^2 values and differ only by a constant factor k (the slope).

How to check with your table
- Compute k for each row: k_i = F_i ÷ (1/d_i^2) = F_i·d_i^2. If the k_i values are approximately the same, your data follow the inverse‑square law.
- Alternatively plot F versus 1/d^2: you should get a straight line through the origin; the slope is k.
- You can also compute the correlation (or R^2) between F and 1/d^2 to quantify agreement.

Interpretation of possible outcomes
- k nearly constant and high R^2 → good agreement with inverse‑square law.
- Systematic deviations → check units, background forces, finite size of sources, measurement error, alignment, or environmental effects.

If you paste the numbers from your table I can compute k_i, make the plot, and give a quantitative comparison.