00:01
All right, so let's say we have a spring that has kind of dropped and stretched as it rotates through these two angles.
00:08
And it starts off with an initial distance of one point, or initial length of 1 .5 meters and stretches to a length of 2 .3 meters.
00:20
And the mass on the end of the spring is a quarter of a kilogram.
00:25
And at the bottom it has a speed total of 5 .8 meters per second.
00:32
So we want to know what is the spring constant, first off.
00:36
So what we'll have is the potential energy of the spring, mgh, the initial potential energy, is going to equal the spring energy, 1fkx squared, plus the kinetic energy at the bottom of its path.
00:53
And so the height that it falls through is going to be like 2 .3 meters.
00:59
So first off, let's write 1 .5 k x squared is equal to.
01:04
And we can write it as m times gh minus 1 half v squared.
01:10
So k is going to be 2m over x squared times gh minus 1 half v squared...