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    Computational Physics - Conservation of energy

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    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?

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    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.

    $2.49

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