Question

1joule=100000000erg solve this probleme

Answer 1

Both Joule and erg are units of work/energy. The erg is the cgs unit of work/energy and Joule is MKS/ SI unit of the same.

By definition, 1 erg is the work done when a force of one dyne produces a displacement of 1 cm in an object in the direction of the force.

And one dyne is that force which produces an acceleration of 1 cm/s² in an object of 1 gm.

So one erg = 1 gm × 1 cm/s² × 1 cm.

By definition, one Joule is the work done by a force of 1 Newton in producing a displacement of 1 metre in an object in the direction of the force.

One Newton in turn is that force which produces in an object of 1 kg an acceleration of 1 m/s².

So 1 Newton = 1 kg × 1 m/s² = 1000 gm × 100 cm/s² = 10^5 dyne.

1 Joule = 1 Newton × 1 m displacement = 10 ^5 dyne × 100 cm displacement = 10^7 ergs.

1 Joule = 10^7 ergs.

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Archan Desai, Student

Answered Dec 26, 2017

Unit of energy is joule = kg*m²/s²

Joule is a MKS unit and erg is a CGS unit

MKS = CGS

1 m = 100 cm

1 s = 1 s

1 kg = 1000 gm

From above :

1 joule = 1 kg*m²/s² = 1000 * 10000 / 1 cm*m²/s²= 10^7 gm*cm²/s² = 10^7 erg

So, Answer : 1 joule = 10^7 erg