Question

Define 1 joule of work. What is the relation between joule and erg?

Answer 1

by dimensional analysis we can do it
1J = 10^7 erg

Answer 2

hi mate,

we know that the One joule is defined as the amount of energy exerted when a force of one newton is applied over a displacement of one meter.

One joule is the equivalent of one watt of power radiated or dissipated for one second. In some applications, the British thermal unit (Btu) is used to express energy.

we know that the Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre.

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.

1 joule = 10^7 erg

i hope it helps you.