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!

Leaving speed and distance after impact

  1. Oct 11, 2009 #1
    1. The problem statement, all variables and given/known data
    A force platform is a tool used to analyze the performance of athletes measuring the vertical force that the athlete exerts on the ground as a function of time. Starting from rest, a 61.0 kg athlete jumps down onto the platform from a height of 0.610 m. While she is in contact with the platform during the time interval 0 < t < 0.8 s, the force she exerts on it is described by the function below.
    F = (9 200 N/s)t - (11 500 N/s2)t2

    3. The attempt at a solution
    (a) What impulse did the athlete receive from the platform?(981.333)
    (b) With what speed did she reach the platform?(3.459)

    (c) With what speed did she leave it?
    (d) To what height did she jump upon leaving the platform?


    my attempt for (c)
    impulse = mvf - mvi
    981.333 = 61(vf) - 61(-3.459)
    vf = 12.628m/s

    my attempt for (d)
    V2f = V2i + 2ax
    0 = 12.6282 + 2(-9.81)x
    x = 8.1277m

    I don't understand why my answer for part c and part d are wrong =\
     
  2. jcsd
  3. Oct 11, 2009 #2
    Gravity is still acting on the athlete during the 0.8s interval
     
  4. Oct 11, 2009 #3

    kuruman

    User Avatar
    Homework Helper
    Gold Member

    That's because you neglected to consider the weight of the athlete mg. The given force is also known as a normal force. Draw a free body diagram of the athlete and find an expression for the acceleration a(t) in terms of the normal force and the weight. Integrate to get the velocity. Your method for (d) is correct.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook