Cinservatuon of energy icline and spring problem

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The discussion revolves around a physics problem involving energy conservation as a block slides down a frictionless incline and compresses a spring. The block, weighing 3.20 kg, travels a distance d before compressing the spring with a spring constant of 430 N/m. Participants are attempting to solve for the distance d and the distance between the point of first contact and the point of maximum speed. There is confusion regarding the application of energy conservation equations, particularly in relating potential energy to spring compression. The conversation emphasizes the need to clarify the problem's requirements without misinterpreting the mass variable.
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1. Homework Statement

A 3.20 kg block starts at rest and slides a distance d down a frictionless 30.0° incline, where it runs into a spring (Fig. 8-6). The block slides an additional 19.5 cm before it is brought to rest momentarily by compressing the spring, whose spring constant k is 430 N/m.



(a) What is the value of d?

(b) What is the distance between the point of first contact and the point where the block's speed is greatest?



Homework Equations





The Attempt at a Solution

 
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Since you know energy is conserved. Can you list what energy type of energy is started with and end with?
 
i did mgh=.5kxsquared

and the found 31.36h=8.175 but that is wrong and i know m should be less than 1 b/c that would make sense
 
It didn't ask you to find height. It asked you to find distance that it travels.

I don't know what you mean by m < 1. m as in mass?
 

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