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!

Energy conservation in oscillatory motion

  1. Jul 20, 2011 #1
    1. The problem statement, all variables and given/known data

    A 0.321-kg mass is attached to a spring with a force constant of 13.3 N/m. If the mass is displaced .256 m grom the equilibrium and released, what is its speed when it is .128 m from equilibrium. The answer is 1.43 m/s

    2. Relevant equations

    k=(w^2)m
    w=2pi/T

    3. The attempt at a solution
    I used the formula (1/2)mv^2= (1/2)kd^2. I solved for k and got 6.44 rad/s and then i solved the equation for v. I then used .128 for my d. I plugged in my answer and got 8.24. I also used d as .256 and got 1.64
     
  2. jcsd
  3. Jul 20, 2011 #2
    k is given as 13.3

    here's how energy conservation works

    for one state of system ... write all mechanical (potential + kinetic) energies associated with it
    the do same for other state
    the 2 energies shall be same so equate them and find unknown

    so here find energy when spring is initially stretched and when it has extension .128 and equate them
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Energy conservation in oscillatory motion
  1. Oscillatory motion (Replies: 7)

  2. Oscillatory motion (Replies: 1)

Loading...