1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Find the maximum distance the spring will be compressed?

  1. Sep 24, 2016 #1
    1. The problem statement, all variables and given/known data
    A spring of negligible mass has force constant k = 1800 N/m .

    You place the spring vertically with one end on the floor. You then lay a 1.30-kg book on top of the spring and release the book from rest. Find the maximum distance the spring will be compressed.

    2. Relevant equations
    Potential energy of spring: 0.5kx^2
    Potential engergy by gravity: mgh

    3. The attempt at a solution
    mgx = 0.5kx^2
    mg = 0.5kx
    x=0.01417m(take g=9.81)

    But the answer is 12cm, what's wrong with my approach?
    How can I obtain the correct answer?
    Thank you.
  2. jcsd
  3. Sep 24, 2016 #2


    User Avatar

    Staff: Mentor

    Your approach looks okay to me. Could be a misprint in the text. Sometimes authors change the numbers in problems when they "refresh" a book for new editions and fail to update the answer key accordingly.
  4. Sep 24, 2016 #3
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted