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!

Calculating angle of ball after collision

  1. Nov 27, 2015 #1
    1. The problem statement, all variables and given/known data
    The white ball in the figure has a speed of 1.81 m/s and the yellow ball is at rest prior to an elastic glancing collision. After the collision the white ball has a speed of 1.37 m/s. To the nearest tenth of a degree, measured counterclockwise from east, what angle does it scatter at if the yellow ball is scattered at 280degrees?

    coll4.gif


    2. Relevant equations
    mv1=mv1'sin(@)+mv2'sin(@)

    3. The attempt at a solution
    (2kg x 1.81m/s) = (2kg x 1.37) sin(@) +(1kg) v2' sin(280)

    v2':
    1/2mv1^2 = 1/2mv1'^2 + 1/2mv2'^2
    v2'= 1.67m/s

    The answer is 37 degrees but I am not sure how to progress from here.
     
  2. jcsd
  3. Nov 27, 2015 #2
    I would recommend drawing a free body diagram of the two balls as well as vector triangles to get a better grasp of the situation here. For one, do not apply the equations blindly. The very first step here:
    is meant to be a statement of Conservation of Linear Momentum in the horizontal direction, yes?

    What then, is the direction of the momentum vector you are considering when you use sin(@)?
     
  4. Nov 27, 2015 #3

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Something odd about this question...
    It appears to be overspecified. There are only two unknowns, the final speed of the yellow ball and the final direction of the white ball. But since it is elastic there are three available equations: energy, x-momentum and y-momentum.
    The component of the white ball's momentum orthogonal to the yellow ball's departure direction should be conserved. But |1.81*sin(280) |=1.78 > 1.37, a contradiction.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted