Using dimensional analysis show that if the units of length and force are each doubled, the units of energy is increased four times?

Using dimensional analysis show that if the units of length and force

1.	Using dimensional analysis show that if the units of length and force are each doubled, the units of energy is increased four times?
Answer» Solution :ENERGY `=FxxS=MLT^(-2)xxL` when DOUBLED `E^(1)=2MLT^(-2)xx2L=4ML^(2)T^(-2)`