**ERIC Number:**EJ1052007

**Record Type:**Journal

**Publication Date:**2012

**Pages:**5

**Abstractor:**As Provided

**ISBN:**N/A

**ISSN:**EISSN-1309-7202

**EISSN:**N/A

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, v3 n3 p25-29 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 point charge or mass on another. I extend the method to evaluate any integral of the form ?r[superscript n] dr for any integer n ? -1.

Descriptors: Science Instruction, Physics, Algebra, Scientific Concepts, Teaching Methods, Introductory Courses, Equations (Mathematics)

Erciyes University. Melikgazi, Kayseri, 38039 Turkey. Tel: +90-352-207-6666; Web site: http://ejpe.erciyes.edu.tr/index.php/EJPE

**Publication Type:**Journal Articles; Reports - Descriptive

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A

**Grant or Contract Numbers:**N/A