00:01
Hi, here's the simple situation that we are to analyze and answer.
00:06
We have a spring here whose spring constant is 440 newtons per meter.
00:12
We are to determine the amount of energy that we can store in it if it stretched with maximum stretching length of 20 centimeters.
00:24
So this is quite a straightforward problem.
00:29
So for energy that is stored in elastic materials like spring, we call that stored energy as elastic potential energy.
00:39
And okay, we have it here in red.
00:41
So elastic potential energy is directly proportional to the stiffness of the spring as measured by its spring constant.
00:50
And directly proportional to the square of the amount of stretching or compression.
00:55
And then you have here the constant one half.
00:57
So everything is given to us except for the stored energy.
01:02
So we simply use this expression here, one -half kx squared.
01:07
So the stored energy in this spring is one -half, spring constant times we will use the maximum stretching amount for our x here.
01:20
And again, be very conscious that the amount of stretching here is not in m -ks...