Undergrad Conversion factors derivation.

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The discussion focuses on the conversion formulas between the MKS and CGS systems for force and work, highlighting that 1 Newton equals 10^5 dynes and 1 Joule equals 10^7 ergs. It emphasizes the dimensional analysis of force and energy, where force is expressed as M L T−2 and energy as M L² T−2. Additionally, it addresses the conversion of CGS units, specifying that centimeters convert to meters and grams convert to kilograms in the MKSA system. Understanding these conversions is crucial for accurate scientific calculations across different measurement systems. The conversation underscores the importance of dimensional consistency in physics.
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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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