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06-Nov-2019 11:06

It’s a little like being on a boat at sea; the tiny rises and falls of the surface are obvious, but the huge distance to the bottom is not. Before Einstein, the kinetic energy of a completely stationary rock and a missing rock was the same (zero).

So, energy is a sort of strict economy (total never changes) with many different currencies (types of energy).

These two terms, the kinetic and gravitational-potential energies, are included because they change a lot (speed and height change throughout every swing) and because however much one changes, the other absorbs the difference and keeps E fixed.

There are more terms that can be included, like the heat of the pendulum or its chemical potential, but since those don’t much and the whole point of energy is to be constant, those other terms can be ignored (as far as the swinging motion is concerned).

First, it’s worth considering what energy actually is.

Rather than being an actual “thing” in the universe, energy is best thought of as an abstract (there’s no such thing as pure energy).

So, energy is a sort of strict economy (total never changes) with many different currencies (types of energy).

These two terms, the kinetic and gravitational-potential energies, are included because they change a lot (speed and height change throughout every swing) and because however much one changes, the other absorbs the difference and keeps E fixed.

There are more terms that can be included, like the heat of the pendulum or its chemical potential, but since those don’t much and the whole point of energy is to be constant, those other terms can be ignored (as far as the swinging motion is concerned).

First, it’s worth considering what energy actually is.

Rather than being an actual “thing” in the universe, energy is best thought of as an abstract (there’s no such thing as pure energy).

Energy takes a heck of a lot of forms: kinetic, chemical, electrical, heat, mechanical, light, sound, nuclear, etc. For example, the energy stored in a (not overly) stretched or compressed spring is and the energy of the heat in an object is .