If force 'F', acceleration 'A' and time 'T' are taken as fundamental quantities then the dimensions of energy are.
A2T
FAT2
F2T
FA−1T−1
EαFaAbTc ML2T−2=k(MLT−2)a.(LT−2)b Tc ML2T−2=kMa La+b T−2a−2b+c Compare on both side M,L,T Dimensions M→a=1, a+b=2 L→b=2−1=1 T→−2a−2b+c=−2 substitute a, b values 2a+2b−c=2 2+2−c=2 c=2 E=F1AT2 ALTERNATELY: power =force ×velocity energytime=force×acceleration×time so E=FAT2