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: Coefficient of restitution of a ball bouncing down steps

  1. Mar 12, 2013 #1
    1. The problem statement, all variables and given/known data

    A small ball is placed at the edge of the top step of a flight of steps. Each step has identical
    dimensions. The ball is kicked horizontally, perpendicular to the edge of the top step. On its first and second bounces it lands exactly in the middle of the first and second steps down from the top. Find the coefficient of restitution between the ball and the first step.

    The ball continues bouncing down the steps hitting the middle of each successive step. What is the coefficient of restitution between the ball and the remaining steps?

    I have been given the above problem to work. I am not sure where to start. All I know is that the coefficient of restitution is the ratio of speeds before and after the impact. Can anyone point me in the right direction?
  2. jcsd
  3. Mar 12, 2013 #2


    User Avatar
    2017 Award

    Staff: Mentor

    The following questions should give a good start. Try to use them one by one, and see if you can continue yourself at some point.

    Did you draw a sketch? This should include labels for some relevant parameters, like the step height and length.

    How does the motion of the ball after the initial kick look like? In particular, how long does that last?

    What do you know about the horizontal velocity component? How is that related to the motion after the first bounce? How is that related to the vertical component?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads for Coefficient restitution ball
Negative absorption coefficient in muon absorption?