Question

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

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?

A) Y, Z, W, X
B) Y, W, X, Z
C) Z, Y, W, X
D) Z, X, W, Y

Answer 1

B. Y,W,X,Z is the answer, Hope it helps

Answer 2

Answer : Y > W > X > Z

Explanation :

The electrostatic force is given by :

`F=k(q_1q_2)/(d^2)`

k is the electrostatic constant

q₁ and q₂ are charges

d is the distance between them

We will calculate forces one by one :

`F=k(q.q)/(d^2)=(kq^2)/(d^2)`

`W=k(q.2q)/(d^2)=(2kq^2)/(d^2)=2F`

`X=k(q.q)/((2d)^2)=(kq^2)/(4d^2)=(F)/(4)`

`Y=k(3q.q)/(d^2)=(3kq^2)/(d^2)=3F`

`Z=k(q.q)/((3d)^2)=(kq^2)/(9d^2)=(F)/(9)`

So, the force from greatest to least will be :

Y > W > X > Z

So, the correct option is (B)