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!

Elastic Collision w/ Pendulum Bobs

  1. Oct 16, 2011 #1
    1. A pendulum bob of mass m is released from a height H above the lowest point. It collides at the lowest point with another pendulum of the same length but with a bob of mass 2m initially at rest.

    Find the heights to which the bobs rise given that the collision is (A) Completely Inelastic, (B) Perfectly Elastic.




    2. Relevant equations
    (conservation of linear momentum)
    m1u1 + m2u2 = m1v1 + m2v2

    (conservation of energy)
    .5mv^2 + mgh = .5mv^2 + mgh

    3. The attempt at a solution
    initial PE = mgH
    = final KE at lowest point
    = 0.5 mu^2
    (A) Completely Inelastic
    total mass = 3m
    final PE
    = 3m g *h

    mgH = 3mg h
    h = H/3
    ***answer is supposed to be H/9??***

    (B) Perfectly Elastic
    mgH= 0.5 mu^2

    0.5 *m *u^2 + 0.5 * 2m *0^2 =0.5 * m * 0^2 + 0.5 * 2m * v^2
    0.5 *m *u^2 = 0.5 * 2m * v^2
    0.5 * 2m * v^2 = mgH

    KE of 2m at lowest point = PE at height point
    0.5 * 2m * v^2 = 2m g h1
    mgH = 2mg h1
    h1 = H/2
    ***answer is supposed to be H/9, and 4H/9??***

    Could anyone help me as to why I've got the wrong answers?
     
    Last edited: Oct 16, 2011
  2. jcsd
  3. Oct 17, 2011 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    Yes, it is a big truth that everything is identical with itself...


    You supposed that the final potential energy is equal to the initial one, that is energy is conserved, but it is not true for an inelastic collision.


    The final velocity of the lighter mass will not be zero: It does not collide with an equal mass.


    ehild
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Elastic Collision w/ Pendulum Bobs
  1. Pendulum bobs (Replies: 23)

Loading...