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Force Exerted by Road on an Accelerating Car

  1. Sep 12, 2011 #1
    1. The problem statement, all variables and given/known data

    A huge SUV of mass 2300 kg can accelerate from 0 to 60 mi/h in 9.0 s. What force does the road exert on the SUV?

    V0 = 0
    V= 60mph or 26.8224m/s
    M= 2300kg
    t=9s

    2. Relevant equations

    F=ma

    3. The attempt at a solution
    a= (26.8224) / 9 = 2.98
    Fx = ma = 2.98*2300 = 6854.61 N

    Fy = m*g = 2300*9.8 = 22540 N

    So those are the two forces that I was able to calculate but I am not sure how I find the force exerted by the road on the car. Any help would be greatly appreciated! Thanks!

    other info: I read somewhere that the force would be sqrt (Fx2 + Fy2) but that didn't give me the right answer if my above work is correct.
     
  2. jcsd
  3. Sep 12, 2011 #2
    If you made a mistake I would like to know what it is. Your work looks right to me.
     
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