WORK, ENERGY, POWER Kinetic Energy.
KINETIC ENERGY
If a body of mass m starts from initial velocity u and is accelerated by a constant force F to velocity of v
then from the laws of motion under constant acceleration, v2 = u2 + 2 a s
and the definition of force F = m a, then the work done is equal to F * s.
W = F * s
but F= m a and s = 1/ 2a (v2 - u2)
so W = 1/ 2m (v2 - u2)
= 1/ 2m v2 - 1/ 2m u2
Notes:
- If the body starts from rest, u =0 and so the work done on it would be 1/ 2m v2.
This gives the amount of energy that any moving body of mass m traveling at velocity v has.
Rob Coles 08 April 1996 10:51:33