1. Not finding help here? Sign up for a free 30min 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!

Conservation of Energy Problem

  1. Oct 15, 2008 #1
    1. The problem statement, all variables and given/known data
    Consider the track shown in the figure. The section AB is one quadrant of a circle of radius r = 2.0 m and is frictionless. B to C is a horizontal span 3.3 m long with a coefficient of kinetic friction µk = 0.25. The section CD under the spring is frictionless. A block of mass 1 kg is released from rest at A. After sliding on the track, it compresses the spring by 0.20 m.

    a)Determine the velocity of the block at point B.
    b)Determine the thermal energy produced as the block slides from B to C.
    c)Determine the velocity of the block at point C.
    d)Determine the stiffness constant k for the spring.


    2. Relevant equations



    3. The attempt at a solution

    I have been trying to solve this all night and have gotten this far:

    a) V=square root of 2(9.8m/s^2)(2m) V=6.26m/s
    b) (.25)(9.8m/s^2)(3.3m)(1kg)=8.09 J
    c) 1/2(1kg)V^2-1/2(1kg)(6.26m/s)^2=-8.09J V=4.80m/s
    d) -1/2(1kg)(4.80m/s)^2=1/2(-k)5.5m k=4.19N/m

    Are any of these correct?

    Please help me figure this out, it is due by the end of the day Thursday 10/16.
     
    Last edited: Oct 15, 2008
  2. jcsd
  3. Oct 16, 2008 #2

    alphysicist

    User Avatar
    Homework Helper

    Hi Bones,

    If possible, it would probably be good to upload an image for this problem somewhere to make sure there is no misunderstanding.

    I don't think the right side of this equation is correct. What is the formula for the potential energy stored in a spring? And isn't the spring only compressed by 0.2m?
     
  4. Oct 16, 2008 #3
    "At the spring, use the velocity to find it's kinetic energy again. Energy and work interchange, and the work to compress a spring is 1/2*Spring constant*Compression distance^2"

    -1/2(1kg)(4.80m/s)^2=1/2(-k)(0.2m)^2 k=576N/m

    Is this better?
     
    Last edited: Oct 16, 2008
  5. Oct 16, 2008 #4

    alphysicist

    User Avatar
    Homework Helper

    Yes, that looks better. (And I hope I am visualizing this correctly!)
     
  6. Oct 16, 2008 #5
    It worked out, thanks for the help ;)
     
  7. Oct 16, 2008 #6

    alphysicist

    User Avatar
    Homework Helper

    Glad to help!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Conservation of Energy Problem
Loading...