Day 94: What is the Area Under Force vs. Position?Posted: March 10, 2014
Today we started investigating the mysterious integral of a force position graph and how it seems to make predictions for stuff (more detail here). Today I had students pick a start and end point on a ramp. They had to pull the carts from their start to end point, starting and ending at rest, in any way they wanted without going backwards. They could go fast, slow, accelerate, jerk (though jerking is hard to do without letting the cart go backwards), or anything else they could think of. The end results are below and speak for themselves. A couple groups tried going backwards, and predictably got negative integrals of the same value, which was neat.