Derive Relationship between joules Erg
Answers
Answer:
An erg is the amount of work done by a force of one dyne exerted for a distance of one centimetre. In the CGS base units, it is equal to one gram centimetre-squared per second-squared (g⋅cm2/s2). It is thus equal to 10−7 joules or 100 nanojoules (nJ) in SI units.
CGS base units: 1 cm2⋅g⋅s−2
Unit system: CGS units
SI units: 1.000000×10−7 J
Derivation: 1 erg = 1 dyn⋅cm
Answer:
An erg is the amount of work done by a force of one dyne exerted for a distance of one centimetre. In the CGS base units, it is equal to one gram centimetre-squared per second-squared (g⋅cm2/s2). It is thus equal to 10−7 joules or 100 nanojoules (nJ) in SI units.
CGS base units: 1 cm2⋅g⋅s−2
Unit system: CGS units
SI units: 1.000000×10−7 J
Derivation: 1 erg = 1 dyn⋅cm
Joule is the SI unit of energy while erg is the cgs unit of energy. Therefore, 1 Joule is equal to 107 erg.
One joule equals the work done (or energy expended) by a force of one newton (N) acting over a distance of one meter (m). One newton equals a force that produces an acceleration of one meter per second (s) per second on a one kilogram (kg) mass. Therefore, one joule equals one newton•meter.
An erg is the amount of work done by applying a force of one dyne for a distance of one centimeter. In the CGS base units, it will be one gram centimeter-squared per second-squared. Whereas joule is the amount of work done by applying a force of one newton for a distance of one meter. Thus, 1joule=1newton×1m