Physics of a Jumperoo™

The Conservation of Energy

“Energy can neither be created nor destroyed”.

As Einstein said, “it can only be changed from one form to another.” This is a pretty big concept, and I will only just mention it in this context. Our ideal environment within the bounds of this system is without the conversion of energy into non-conservative forces such as friction and sound. This also means our results should be good. The change in potential energy of the spring, U, created by work done on the system, should turn into kinetic energy, K, that the spring can use to do some work on an object (Henderson, 1998). We can use the ideas proven in physics to express this in a mathematical experiment.

First let us look at one portion of this equation hitting this equation with our calculus stick, ”whack”, and the chain rule gives us (Knight, 2013). Now for a little integration from the initial to final conditions set up the equation which just incorporates our new found relations of (Knight, 2013). Again set your calculus stick to integrate and hit this problem firmly. We should both get this , then this (Knight, 2013).

Now incorporating our last problems initial and final conditions we can get , and the total mechanical energy, E, for the idealized system was conserved . Cool we didn’t break the part about energy never being created or destroyed.

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Conservation of Energy

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