Register to reply

Natural Length of a spring

by chaotixmonjuish
Tags: length, natural, spring
Share this thread:
chaotixmonjuish
#1
Jan23-08, 04:51 PM
P: 287
I'm having problems with the work section of my calc book. This is the problem:

If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to stretch from 12 cm to 14 cm, what is the natural length of the spring?

I set up two equations:

6 J= Kx^2/2 evaluated at 10-L and 12-L
10 J= Kx^2/2 evaluated at 12-L and 14-L

I'm not sure what to do after the mess hell of algebra, I end up with a K and an L. Do I solve for K in one equation and plug it into the other?
Phys.Org News Partner Science news on Phys.org
Security CTO to detail Android Fake ID flaw at Black Hat
Huge waves measured for first time in Arctic Ocean
Mysterious molecules in space
chaotixmonjuish
#2
Jan23-08, 05:36 PM
P: 287
I got a length of 8
HallsofIvy
#3
Jan23-08, 05:39 PM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,346
If that's the easiest way to solve the two equations. Any any case, you want to eliminate K from the equations, resulting in single equation for L.


Register to reply

Related Discussions
Length of Spring Introductory Physics Homework 4
Natural frequency of a spring(self-weight only) Introductory Physics Homework 9
Length of a spring under its own weight Introductory Physics Homework 5
Spring, length and speed Introductory Physics Homework 6
Finding the max length of a spring Introductory Physics Homework 3