There are a variety of ways to categorize waves. One way is to categorize waves as being transverse waves, longitudinal waves, or surface waves. Waves in each of these categories differ from one another in terms of how the direction of the particle motion compares to the direction of the wave motion. The waves traveling through the rope are transverse waves. For transverse waves, compare the direction that the particles move to the direction that the wave moves?

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach