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Deriving the Work Done by an Inverse Square Force in Non-Calculus-Based Introductory Physics Courses

Hu, Ben Yu-Kuang – European Journal of Physics Education, 2012

I describe a method of evaluating the integral of 1/r[superscript 2] with respect to r that uses only algebra and the concept of area underneath a curve, and which does not formally employ any calculus. This is useful for algebra-based introductory physics classes (where the use of calculus is forbidden) to derive the work done by the force of one…

Descriptors: Science Instruction, Physics, Algebra, Scientific Concepts