SOLUTION: Please help me solve this problem: a spring with a spring constant K = 3 newton per meter is stretched from x = 1 meter to x = 4 meters. Find the work done to the spring.

Algebra ->  Test -> SOLUTION: Please help me solve this problem: a spring with a spring constant K = 3 newton per meter is stretched from x = 1 meter to x = 4 meters. Find the work done to the spring.      Log On


   

Question 1029411: Please help me solve this problem:
a spring with a spring constant K = 3 newton per meter is stretched from x = 1 meter to x = 4 meters. Find the work done to the spring.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
F=-kx
W=int%28F%2Cdx%2C1%2C4%29
W=int%28%28-kx%29%2Cdx%2C1%2C4%29
W=-%28kx%5E2%29%2F2%2BC
W=-%28k%2F2%29%284%5E2-1%5E2%29
W=-%28k%2F2%29%2816-1%29
W=-%283%2F2%29%2815%29
W=-45%2F2N-m
This is work done by the spring so work done on the spring is the negative of this amount.
W=45%2F2J