00:01
In this question we are given a variable force on a particle and we are asked to find the work done by the force on the particle for a number of different displacements.
00:12
The key thing to remember for this question, what color would we like, how about pink, is that we can find work as the area on a force versus position graph.
00:31
Specifically, it's the area between the curve and horizontal axis, or we could say the x -axis.
00:45
And so for part a, to find the work done from 0 to 2 meters, so it told us that every line is 0 .25, so my tick marks here are at a half, 1, 1 .5, and then 2 .0 is out here at point c, so i need to find this area here.
01:19
For part a, well, swell, it's triangle, so that's going to be 1 half times the base times the height of this triangle.
01:31
My base is 2 .0 meters long and my height is up to point b, 6 newtons, and so i get 6 joules.
01:44
And if you want to keep the correct number of significant figures, you could even say 6 .0 joules...