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 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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(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 ...
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