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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?

Solution Preview

(a) Use the work-energy theorem to show that the distance over which the force acts is mv2/2F.

We assume that the average force is in the direction of the displacement.
Hence, the work done by the force is:

W=F*x

Where x is the ...

Solution Summary

The solution shows, using conservation of energy, how to obtain the displacement and how a change in the force and displacement effects the kinetic energy. Step by step calculations are given for various computational physics questions.

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