00:01
What is the charge on each? so we'd like to find the charge on each of these.
00:07
Now we know that our force is equal to q, or k, q1, q2 over distance between them squared.
00:15
We can write this as 11 .7 equal to nine times 10 to the nine q1, q2 over 1 .16 squared.
00:24
So we can solve for q1, q2.
00:28
So we have our 1 .16 squared times 11 .7 newtons divided by nine times 10 to the nine.
00:39
We get 1 .74 times 10.
00:44
We have our 1 .74 times 10 to the negative nine as our q1, q2.
00:51
Now we also have our total charge q1, q2.
00:55
We can write q2 is 95 times 10 to the negative six minus q1.
01:01
Now let's plug this into our expression.
01:04
We can write q1 times q2.
01:10
So we can write our 95 times 10 to the negative six q1 minus q1 squared equal to our value of 1 .74 times 10 to the negative nine.
01:25
And so we use this to solve for q1.
01:29
So we have 95 times 10 to the negative six q1 minus q1 squared equal to 1 .74 times 10 to the negative nine.
01:39
So solving through, we can solve for q1.
01:43
That's equal to 0 .000095 minus the square root of 2 .06 times 10 to the negative nine divided by two.
02:03
And so we get 2 .48 times 10 to the negative five coulombs or q1 could be equal to our, and then if that's our q1 value, then we could solve for q2...