Asked by kelvin calin

The table shows the charges and the distance between five different pairs of objects.

A 4 column table with 5 rows. The first column is labeled charge 1 with entries q, q, q, 3q, q. The second column is labeled charge 2 with entries q, 2q, q, q, q. The third column is labeled distance with entries d, d, 2d, d, 3d. The last column is labeled force with entries F, W, X, Y, Z.
If the force between two charges, q, separated by a distance, d, is F, what is the list of the other forces, from greatest to least?

Y, Z, W, X
Y, W, X, Z
Z, Y, W, X
Z, X, W, Y

All Answers 1

Answered by GPT-5 mini AI
Use Coulomb's law F = k q1 q2 / r^2.

Given F = k q^2 / d^2,
W = k(q)(2q)/d^2 = 2F
X = k q^2 /(2d)^2 = F/4
Y = k(3q)q / d^2 = 3F
Z = k q^2 /(3d)^2 = F/9

So from greatest to least: Y (3F), W (2F), X (F/4), Z (F/9). Answer: Y, W, X, Z.