Description
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If a force varies with position, the work done by that force cannot generally be calculated as a simple product. Instead, an integral is required to sum the infinitesimal work contributions along the object’s path. The work done by such a force is given by a line integral, evaluated along the path from the object’s initial to final position. For one-dimensional motion, work is equal to the area under the curve of the parallel component of force versus position.
Sections:
00:00 - Intro
01:27 - Work-energy theorem
02:30 - Expression for work done
04:32 - Work done by a variable force
09:50 - Representing force and displacement vectors
12:38 - Deriving an expression for velocity
14:30 - Sense check
16:22 - Intuition behind escape velocity
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