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A particle of mass 3.4 kg moves under the influence of the force F(x) = (−5x2...

A particle of mass 3.4 kg moves under the influence of the force F(x) = (−5x2 + 7x) N. If its speed at x = −4.0 m is v = 22.0 m/s, what is its speed (in m/s) at x = 4.0 m?

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Answer #1

Use definite integration to find the work done from initial to final position. Then use work energy theorem where work done is equal to change in kinetic energy to find the speed as shown below

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