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Physics is the natural science that involves the study of matter and its motion through space and time, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.

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Should the easiness with which math is applied to the world be a surprise?

Math is so readily applied to the "real world" because it was developed precisely for the purpose of solving "problems" abstracted from specifics.
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