If 500gram for the unit of mass 5 seconds the unit of time and acceleration due to gravity 980cm/s^2 with the unit of acceleration. Find the new unit of energy.

the unit of energy is: 1 Joule = kg m²/s²

its dimensional formula is: [ML²T^-2]

thus, in new units, 1 unit of energy:

0.5 kg = 1 M

5 s      = 1 T

245 m = 1 L

 

thus the new unit will be:

1 joule = (1/0.5)*(1/245)²/(1/5)²   [ML²T^-2]