Textbook with spring sliding, use work-energy thm to solve

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A 2.20kg textbook compresses a spring with a force constant of 220 N/m by 0.270 m, and when released, it slides on a tabletop with a kinetic friction coefficient of 0.30. The work-energy theorem is applied to determine the distance the textbook travels before stopping. Initial calculations incorrectly estimated the distance at 2.48m due to a careless mistake. The correct distance the textbook moves before coming to rest is 1.2m. This solution effectively demonstrates the application of energy principles in physics.
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A 2.20kg textbook is forced against a horizontal spring of negligible mass and force constant 220 N/m, compressing the spring a distance of 0.270 m. When released, the textbook slides on a horizontal tabletop with coefficient of kinetic friction 0.30. Use the work-energy theorem to find how far the textbook moves from its initial position before coming to rest.


The answer is 1.2m. Can someone help me solve?

Thanks.


My attempt was:


change in KE + change in Elastic potential energy = -friction x distance
0 + (-0.5k(x^2)) = - 0.30(mg)(L)
L = 2.48m
 
Last edited:
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Oh. I had a careless mistake! Ahh. Okay i know le. Haha Thanks.
 

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