# The language of Change

Energy conservation, 6 | Energy 5

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time ~ change

energy ~ the ability of causing change

Assuming

1. a system of one single particle

2. has only kinetic energy

3. and that kinetic energy is conserved.

conservation of energy ~ an object’s potential amount of change of position, measured with respect to its observer’s unit of change, is constant

$s = \Delta x$

$v = \frac{s}{\Delta t} = \frac{\Delta x}{\Delta t}$

— Me@2018-02-15 02:21:20 PM

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Note:

The above argument has a bug:

If the mass m is constant, the kinetic energy $E_K$ should be proportional to velocity squared $v^2$, instead of velocity $v$.

$E_K = \frac{1}{2} m v^2$

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However, the above argument is still technically correct:

When $E_K$ is constant, $v^2$ is constant. In turn, the magnitude of $v$ also remains unchanged.

— Me@2018-02-19 09:37:24 PM

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