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!

Momentum hw problem, steel ball dropped from h

  1. Feb 7, 2012 #1
    1. The problem statement, all variables and given/known data

    A steel ball of mass m falls from a height h onto a scale calibrated in newtons. The ball rebounds repeatedly to nearly the same height h. The scale is sluggish in its response to the intermittent collisions and displays an average force Favg, such that FavgT = FΔt, where FΔt is the impulse that the ball imparts to the scale during the brief time Δt of each collision, and T is the time between collisions.

    Calculate this average force in terms of m, h, and physical constants.


    2. Relevant equations
    momentum principle, delta(p)=Fnet delta(t)
    update position, delta(r)=v(initial)delta(t) + a/2*delta(t)
    delta(r) = v(avg)delta(t)
    v(f)^2 =v(i)^2 +2a(∆x)


    3. The attempt at a solution
    use second equation
    h=g/2*T^2 then rearange to get T= sqrt(2h/g)
    (I think theres initial velocity, but I need help computing it)
    that can be plugged into the final equation for T

    I'm sort of lost on how to convert the impulse into different units and need help on this also
     
  2. jcsd
  3. Feb 8, 2012 #2

    BruceW

    User Avatar
    Homework Helper

    Right. I think the first thing to do is to calculate the velocity at which the ball 'rebounds' from the ground. As soon as the ball leaves the ground, it is acted on only by gravity, and reaches a height h. And you want to know the velocity it had when it left the ground.

    You've probably done this problem before under the title "maximum height a ball reaches when thrown vertically"
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Momentum hw problem, steel ball dropped from h
Loading...