Really on simple energy and spring on incline

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Homework Help Overview

The discussion revolves around a physics problem involving a block on a frictionless incline and its interaction with a spring. The focus is on calculating the elastic potential energy of the spring when compressed.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of units for the spring constant and the compression distance, questioning the correctness of their calculations and the implications of mixing units.

Discussion Status

Participants are actively engaging in clarifying the unit conversion process and identifying errors in the calculations. Some guidance has been provided regarding the proper conversion of the spring constant.

Contextual Notes

There is an emphasis on ensuring unit consistency, as well as a recognition of the potential for losing points due to minor errors in calculations.

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A 2.00 kg block is placed against a spring on a frictionless 30.0° incline (Fig. 8-33). (The block is not attached to the spring.) The spring, whose spring constant is 19.6 N/cm, is compressed 16.0 cm and then released.

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(a) What is the elastic potential energy of the compressed spring?
So I think of it like this, it wants the answer in joules, so I convert 19.6N/cm to .196N/m, and 16cm to .16m anyway. PE=1/2 K X^2
so
PE=.5(.196)(.16^2) = .0025088J but it's wrong. I know this is very simple, But I don't understand why I am wrong here
 

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so I convert 19.6N/cm to .196N/m

This is wrong. Try again, make sure your units work out.
 
I tried leaving them the same, but that didn't work either. The only other thing I can think of is leaving one the same and changing the other, which is mixing units, and that's wrong. What is wrong about it, can you be a little more specific?
 
You just didn't convert it properly. Write it out so you can see how the units need to be:

19.6 N/cm * 100 cm/m = 1960 N/m.
 
Ahh thank you, I swear I lose so many points because of stuff like this
 

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