Cinservatuon of energy icline and spring problem

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Homework Help Overview

The problem involves a block sliding down a frictionless incline and compressing a spring, focusing on the conservation of energy principles. It seeks to determine the distance the block travels down the incline and the distance between two specific points during its motion.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conservation of energy, with one attempting to relate gravitational potential energy to spring potential energy. Questions arise regarding the interpretation of the problem and the specific quantities being asked for.

Discussion Status

The discussion is ongoing, with attempts to clarify the problem's requirements and the relationships between different forms of energy. Some participants are questioning the relevance of height in the context of the distance traveled.

Contextual Notes

There is a note that the problem does not explicitly ask for height, which may lead to confusion regarding the variables involved. Participants are also exploring the implications of mass in their calculations.

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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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