00:01
All right, so let's say we have a graph of an object's potential energy in jewels as a function of position.
00:10
And i'm going to do my best to replicate the graph, but i'm not probably going to do the greatest job.
00:15
So it kind of looks like this, something like this.
00:20
And we're told that the total energy of this system is 12 joules, and it describes a particle with a mass of half a kilogram.
00:27
So part a asks, where are the turning points of this system? so turning points occur when the kinetic energy is zero.
00:34
And that basically just means that the turning points occur whenever the potential energy is equal to the total energy, which is going to be right here, if i drew this well, and then somewhere over here.
00:47
So this presumably is x equals 1, and this is x equals 8.
00:52
So the turning points are at 1 and at 8.
00:56
Part b says, what's the speed of the particle at 0 .3? so that's like right about here as they've drawn it.
01:05
And so the potential energy at this point is six joules.
01:12
Let me write it this way.
01:13
X equals three is six joules.
01:18
And the total energy is 12 joules...