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Inelastic Collision of 2 Carts - Displacement

  1. Mar 19, 2012 #1
    1. The problem statement, all variables and given/known data
    A 15.0 kg toy cart is traveling at 5.5 m/s to the right when it collides head on with a 10.0 kg cart traveling at 4.0 m/s to the left. The objects collide and stick togethere. The coefficient of friction between the wheels of the cart and the floor is 0.40. How far will the carts slide from the location of the collision?

    ma = 15 kg
    va = 5.5 m/s
    mb = 10 kg
    vb = 4.0 m/s
    μ = 0.4

    2. Relevant equations
    Assuming right is positive.

    mava + mbvb = ma+b * va+b
    Fnet = ma
    v2^2 = v1^2 + 2ad

    3. The attempt at a solution
    mava + mbvb = ma+b * va+b
    15(5.5) + 10(-4) = 25 * va+b
    42.5 = 25 * va+b
    va+b = 1.7 m/s

    Fnet = ma
    Ff = ma
    Fnμ = ma
    - Since there is no vertical acceleration Fn = Fg
    9.8(0.4) = a
    a = -3.92 m/s

    this is where I get stuck

    Edit: I tried doing this but I'm not sure if I'm right.

    v2^2 = v1^2 + 2ad
    0 = (1.7)^2 + 2(-3.92)d
    -2.89 = -7.84d
    d = 0.37 m
     
    Last edited: Mar 19, 2012
  2. jcsd
  3. Mar 19, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    Yup. That works :smile:
     
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