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A natural phenomenon is explained by a conceptual theory and then that theory has to universally applicable. The concept is represented by mathematical models (formulae). These formulae as functions of variables are applied to logically similar phenomenon. Moreover, the concept is to be verified and validated through experiments. These formulae are used to validate the mathematical model applicable to the given phenomenon. That's how the physics and mathematics are related.
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The moment of inertia of a body about a given axis is 1.2kgm^2 . Initially the body is at rest. In order to produce a rotational kinetic energy of 1500J, an angular acceleration of 25rad/second ^2 must be applied about that axis for a duration of
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