00:01
All right, so we had two charges, one of them positive, one of them negative.
00:04
This has a negative 10 nanoculam value.
00:07
This is positive 10 nanoculams.
00:09
They're separated by a distance of 8 .65 centimeters.
00:14
And we place another positive charge of five nanoculams down here.
00:20
And this is a distance of 11 .5 centimeters.
00:26
And so we want to know what's the magnitude and direction of the force on the five.
00:30
Nanoculum charge.
00:32
So this is just going to be the force between the five nanoculum.
00:36
Let's just look at the magnitudes for a moment.
00:38
We'll get the directions later.
00:41
This is going to be the force from the positive charge plus the force from the negative charge.
00:46
So the force from the positive charge is going to be like k times the charge.
00:50
So five.
00:51
And we'll convert the units right here.
00:55
Let's just write, let's write this.
00:56
F of 10 on five.
00:59
So let's look at that's the force of the positive charge, positive 10 nanoculum charge on the 5 nanoculum charge.
01:06
So this is going to be k times five nanoculams, so five times into the negative ninth coulams times 10 nanoculams, which is 10 to the negative eighth, divided by the distance.
01:18
And this is 0 .115 meters squared.
01:23
And then, of course, the force is positive.
01:27
So in this case, we'll take positive forces to mean, like, away from the charge of repulsive, right? it's a repulsive force, so it's going to push them away.
01:38
So, you know, where we can evaluate that by, we'll just put a negative sign, maybe like a y hat vector here.
01:47
So if we plug in our numbers, we'll have this is like negative 9 times 10 to the 9th, newton's times square meters per coulom squared, times five times 10.
01:58
10 to the negative 17th square couloms over 0 .115 meters squared times y hat...