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Kinetic friction: A Box is given a push and slides across the floor; how far will it go?

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A box is given a push so that it slides across the floor. How far will it go, given that the coefficient of kinetic friction is 0.190 and the push imparts an initial speed of 4.20 m/s?

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The solution explained the concepts and works the problem.

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The best method for such problems is: (simple and straight forward)
By law of conservation of energy:
k.E. = work done ...

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