Inverse Square Law

Inverse Square Law - Inverse Square Law Newton's law of...

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Inverse Square Law Newton's law of gravity describes a force that decreases with the SQUARE of the distance. For every factor of 2 the distance increases, the gravitational attraction decreases by a factor of 2 × 2 = 4; for every factor of 3 increase in distance, the gravity decreases by a factor of 3 × 3 = 9 (not by 3 + 3 = 6!); for every factor of 4 increase in distance, the gravity decreases by a factor of 4 × 4 = 16 (not by 4 + 4 = 8!), etc. See the mathematics review appendix for a review of ``factor'' and ``times''. Some more examples are given in the table below. Notice how quickly an inverse square law gets very small. A comparison of inverse and inverse square relations distance inverse inverse square 1 1/1 = 1 1/1 2 = 1 2 1/2 = 0.5 1/2 2 = 1/4 = 0.25 3 1/3 = 0.33 1/3 2 = 1/9 = 0.11 4 1/4 = 0.25 1/4 2 = 1/16 = 0.0625 7 1/7 = 0.14 1/7 2 = 1/49 = 0.02 10 1/10 = 0.1 1/10 2 = 1/100 = 0.01 100 1/100 = 0.01 1/100 2 = 1/10,000 = 0.0001 Example: Joe Average has a mass of 63.5 kilograms, so he weighs 623 newtons (=140 pounds)
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This note was uploaded on 12/15/2011 for the course AST AST1002 taught by Professor Emilyhoward during the Fall '10 term at Broward College.

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Inverse Square Law - Inverse Square Law Newton's law of...

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