Max Dist Compressed: .99m - Find Out How With Vibrations & Waves

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The discussion revolves around a physics problem involving a 500-g block sliding down a frictionless track and compressing a spring. The formula used to find the maximum compression of the spring is mgh = 1/2 kx^2, which is confirmed as correct. The calculated maximum compression is .99 meters. There is confusion regarding the relevance of vibrations and waves to the problem, but it is noted that the topic aligns with the chapter's focus. Overall, the calculations and concepts discussed are accurate for solving the problem.
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A 500-g block is released from rest and slides down a frictionless track that begins 2.00 m above the horizontal as shown in the figure. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a constant of 20 N/m.find the maximum distance the spring is compressed.

I think that I use the formula mgh=1/2kx^2 is this right?

so when i use this i get (.500)(9.8)(2)=.5(20)(x^2)

and solving for x i get .99m is this right?
 
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i don't get how this has to do with vibration and waves.

but yes, that seems correct
 
well that is what chapter it is in sry I didn't really know what to put in heading. Thanks though
ash
 
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