00:01
So we're using the data in table two, column 5 and 6 to create a graph of force from particle 1 on particle 2 on the y axis.
00:12
Let's draw that in.
00:18
So that's force from particle 1 on particle 2.
00:23
That is going to be measured in newton's.
00:28
And then on the x -axis, we have a value of 1.
00:37
Divided by radius squared.
00:40
This is going to be in one divided by meters squared for our units.
00:45
This is zero.
00:48
And i do not have the data in columns five and six, but i'm going to assume that the data is force and radius measurements.
00:58
And so we want to measure and record the slope of the line using any method we are comfortable with.
01:05
I'm just going to explain the general way to solve this because i don't have the data that you have.
01:13
However, let's just think about what this graph would look like, right? so let's think about the formula because this is for kulam's law.
01:22
So we know that the force in general is going to be equal to force is equal to k, just that constant value that we will eventually be looking for times q1 times q2 over radius squared.
01:40
So if we're drawing a graph, a graph where f is the y axis and one divided by r squared is the x axis, the slope of our graph is going to equal change in y over change in x.
02:03
But let's think about what those are.
02:05
And let's also just draw the graph really quick to try and get a better visualization of what's happening.
02:11
So we know that as 1 divided by r squared, as that value increases, essentially what that's saying is we have this value multiplied by k, multiplied by charge 1, multiplied by charge 2.
02:33
And so if this value is increasing, then force is also going to increase.
02:42
So we can assume that this is probably just going to be a fairly linear relationship.
02:48
I wouldn't worry too much if it's not perfectly linear, but it won't matter a ton if it's not, as long as you're taking your slope the right way.
02:58
So we said that slope is equal to change in y over change in x, right? so let's just see what is the y value.
03:10
So i know that slope is equal to change in x.
03:15
In y.
03:16
So what would the y value be? well, that would be force of particle one on particle two.
03:22
And what's our x value? well, our x value is going to be one divided by radius squared or distance squared, whatever you're using.
03:31
So slope is essentially going to equal force one on two times radius squared.
03:39
Now let's look back to our equation for electric force.
03:44
We can rearrange this equation so that it looks like, sorry, not an exponent of 1 to 2, of 1 to a subscript.
03:57
I got a little ahead of myself there.
03:58
So we have force multiplied by r squared is going to equal k, q1, q2, right? so, but this is slope.
04:13
Slope equals this.
04:17
So what does the slope of this graph physically represent? well, it just equals the constant k multiplied by both charges.
04:31
And this slope should have units of newton's times meters squared.
04:42
And so now we do want to solve for that k value.
04:49
And i'm seeing that in order to do that, we need the value of the charges...