How is the kinetic energy formula derived? From where does it derive?
2007-09-15 20:36:22 · 3 answers · asked by mehrdad_baghery 2 in Science & Mathematics ➔ Physics
David Z is correct. Kinetic energy is the potential an object has if acted apon. Let say you had a bowling ball on top of your refrigerator just sitting there, it has kinetic potential.
2007-09-16 01:24:46 · answer #1 · answered by benrranch 3 · 0⤊ 3⤋
This formula arises from figuring out how much work it takes to accelerate an object from rest to the speed v. Or alternatively, it is the amount of work this object can do on another object when slowing down from v to 0.
2007-09-15 21:27:09 · answer #2 · answered by Demiurge42 7 · 0⤊ 2⤋
One can derive it in this way:
Work = energy= integral(F*dx)
F=dp/dt, where p is momentum.
dp/dt =m*dv/dt.
dv/dt=dx/dt*dv/dx=v*dv/dx
F=mv*dv/dx
W=int(mv*dv/dx*dx)
W=int(mv*dv)
W=1/2m*v^2 = energy.
2007-09-15 21:37:20 · answer #3 · answered by David Z 3 · 1⤊ 0⤋