One Joule is equal to 1 "Newton-Dot-Meter" or N•M, with the Newton being the unit of Force and the Meter being the unit of Distance. In Physics, when a Force acts through a Distance, it is said that Energy is expended or "burned" and Work is done.
Kinetic Energy or Energy In Action is equal to (1/2) Times Mass Times Velocity Times Velocity or
(1/2) Times Mass Times Velocity2. The product of Mass and
Velocity2 is in Kilograms and Meters-Squared Per Second-Squared, written as (kg•m2)/s2.
Writing 484 Joules = (1/2)×8 Kilograms×Velocity2 and dividing both sides of the equation by 8/2 or 4 will give 121 (Joules/Kilogram) = Velocity2.
Here, the Velocity sought multiplies by itself to give 121; a calculator will give that number (or square root) as 11. Furthermore, (Joules/Kilogram) is equal to (Meters2/Second2).
One can then finally obtain 121 (Joules/Kilogram) = 121 (Meters2/Second2) = Velocity2 or
Velocity equals 11 Meters Per Second.
