Convert 15 joule into erg.

is

150000000 erg equal to 15 Joule

Joule:

1 Joule of work is said to be done when a force of 1 Newton is applied to move/displace a body by 1 metre.

1 Joule = 1 Newton * 1 metre

1 Newton is the amount of force required to accelerate body of mass 1 kg by 1m/s²

So units of N is kgm/s²

So,

1 Joule

=1kgm/s² * m

=1kgm²/s²

Erg:

1 erg is the amount of work done by a force of 1 dyne exerted for a distance of one centimetre.

1 Erg = 1 Dyne * 1 cm

1 dyne is the force required to cause a mass of 1 gram to accelerate at a rate of 1cm/s².

1 Erg=1 gmcm/s² * cm

1 Erg=1 gmcm/s² * cm=1gmcm²/s²

this is what you need to convert 1gmcm²/s² to 1kgm²/s²

what you need to know for conversion

[1gm=0.001kg

1cm²

=1cm * 1cm

=0.01 m * 0.01 m

=0.0001m²

second remains constant

]

So,

1gmcm²/s²

=0.001kg*0.0001m²/s²

=0.001kg*0.0001m²/s² = 0.0000001kgm²/s²

Hence,

1 Erg=0.0000001 Joule1 Joule=10,000,000 Erg

⇒15 J=15*10000000 Erg = 150000000 Erg = 1.5*10⁶ Erg