Conversion factors derivation.

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SUMMARY

The discussion focuses on the derivation of conversion factors between the MKS (Meter-Kilogram-Second) and CGS (Centimeter-Gram-Second) systems, specifically for force and work. It establishes that 1 Newton equals 105 dynes and 1 Joule equals 107 ergs. The dimensional analysis reveals that force is expressed as MLT-2 and energy as ML2T-2. Additionally, it addresses the conversion of CGS centimeters to MKS meters and CGS grams to MKS kilograms.

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TL;DR
Conversion factors derivation.
Queries regarding MKS to CGS system for the following formulas.

Force - Newton (MKS), Dynes (CGS)
Work - Joule (MKS), Ergs (CGS)

1N = 10^5 dynes.
1J = 10^7 ergs.

How the above unit conversion formulas are derived ?
 

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Look at the dimensions of force and energy.
force = M L T−2
energy = M L2 T−2

Convert CGS cm to MKSA metres.
Convert CGS gram to MKSA kg.
 
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