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Calculating force from distance traveled and initial speed of projectile

  1. Oct 20, 2014 #1
    1. The problem statement, all variables and given/known data

    Estimate the average force exerted by a shot-putter on a 7.0-kg shot if the shot is moved through a distance of 3.0m and is released with a speed of 10m/s .
    2. Relevant equations
    F=ma
    Maybe the Five Equations for constant acceleration?

    3. The attempt at a solution
    So my guess is that I need to find acceleration. I tried:

    v_f^2=v_i^2+2ad
    0^2=10m/s^2+2(a)3m
    0=100 m^2/s^2+6m(a)
    (-100 m^2/s^2)/6m=a
    16.67m/s^2=a

    So
    F=7kg*16.67m/s^2
    F=116.67

    But I was told this is wrong
     
  2. jcsd
  3. Oct 20, 2014 #2

    Mark44

    Staff: Mentor

    The key to this question, I believe, is the phrase "average force," which is the change in momentum divided by the elapsed time.
    $$\bar{F} = \frac{m(v_f - v_i)}{\Delta t}$$
     
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