Question

derived the SI unit of energy in terms of base unit

Answer 1

First, break down the formulas you need to the ones that consist solely of SI base units:

Energy= Work done

Work done= Force x distance

Force= Mass x acceleration

Now that you have the formulas, work your way back to the original formula from the one with base units by inserting in the units and canceling them or adding them where appropriate:

F=kg ms-²

Work=kgms-² m

Work=kgm²s-².

Answer 2

Because energy is defined via work, the SI unit for energy is the same as the unit of work – the joule (J), 

---is it correct?