Solve Kinetic Friction Coeff for Physics Homework

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To solve for the coefficient of kinetic friction (Uk) in the physics homework problem, the spring constant (k) is given as 300 N/m, and the block's mass is 2.4 kg. The spring is compressed by 0.29 m, and the block slides 0.83 m before stopping. The initial kinetic energy and potential energy are zero, while the final kinetic energy is also zero, leading to the equation 1/2 k (change in X)^2 = Uk mgd. A calculation attempt resulted in an incorrect value of 2.24 for Uk, indicating a possible error in the application of the formula or values used.
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Homework Statement


You push a 2.4 kg block against a horizontal spring, compressing the spring by 29 cm. Then you release the block, and the spring sends it sliding across a tabletop. It stops 83 cm from where you released it. The spring constant is 300 N/m. What is the coefficient of kinetic friction between the block and the table?


Homework Equations


0 (initial KE) + 0 (initial PE) + 1/2k(change in X)^2= 0 (final KE) + 0 (final PE) + Ukmgd and solve for Uk (coeffient of kinetic friction)


The Attempt at a Solution


I did this plugged in 300 for k, 0.54 for change in x, 2.4 for m, 9.8 for g, and 0.83 for d... I got 2.24 for the answer and it was wrong. I can't seem to find out what I'm doing wrong with this problem.
 
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shell4987 said:
I did this plugged in 300 for k, 0.54 for change in x...
How far was the spring compressed?
 
Doc Al said:
How far was the spring compressed?

It would be 0.29m right?
 
shell4987 said:
It would be 0.29m right?
Right.
 
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