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Cart pushed up a ramp

  1. Sep 7, 2010 #1
    1. The problem statement, all variables and given/known data
    A cart is pushed up a ramp with an initial speed v0=2.5m/s. For this problem, you may assume that the cart is frictionless and the acceleration of the cart a=gsin[tex]\theta[/tex].

    A) If the angle of the ramp is [tex]\theta[/tex]=20, what is the maximum distance d that the cart will travel up the ramp?

    B) If the angle of the ramp is [tex]\theta[/tex]=45, what is the maximum distance d that the cart will travel up the ramp?

    2. Relevant equations
    v2=v02+2a[tex]\Delta[/tex]X
    manipulated to....
    (v2-v02) / (2a) = [tex]\Delta[/tex]X

    3. The attempt at a solution

    A)
    9.8sin(20)=3.351797
    (0-(2.5)2) / (2(3.351797) = [tex]\Delta[/tex]X
    [tex]\Delta[/tex]X=10.474 meters

    B)
    9.8sin(45)=6.9296
    (0-(2.5)2) / (2(6.9296) = [tex]\Delta[/tex]X
    [tex]\Delta[/tex]X=.4509 meters

    I was feelin' good about the first answer but the second answer seems too low... did I do these correctly?
     
  2. jcsd
  3. Sep 7, 2010 #2
    Shameless bump.
     
  4. Sep 7, 2010 #3

    PhanthomJay

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    Gold Member

    B looks good. Just check your math error in A.
     
  5. Sep 8, 2010 #4
    Fixed, I have no idea how I came up with ~10 meters...
    Thanks bud!
     
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