Solve the following problem:
Computational Physics - Conservation of energy
When an average force F is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by 12 mv2.
(a) Use the work-energy theorem to show that the distance over which the force acts is mv2/2F. Am I on the right track? UGH so very frustrated!
Kinetic energy = 1/2 mass x speed2
KE = 1/2 mv2
F average = delta MV (mass x velocity)
Work done = F1= F v2m / 2F = mv2/2F
(b) If twice the force is exerted over twice the distance, how does the resulting increase in kinetic energy compare with the original increase in kinetic energy?