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? asked in Science & MathematicsPhysics · 3 weeks ago

 A roller coaster car is released from rest at point W. Calculate its speed at points X, Y, and Z. Neglect friction.?

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2 Answers

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  • 3 weeks ago

    You're going to make use of the conservation of mechanical energy here.  Let point W be at height hw, point x at height hx, point Y at height hy, and point Z at hz.  Note

    hw > hy > hz > hx

    Now the total energy the car can have is the potential energy at point W:

    E = U(w) = mg(hw)

    At point X the car has both kineitic and potential energy that add up to E so

    mg(hw) = 1/2 m(vx)^2 + mg(hx)  -->  vx = sqrt(2*g*(hw -hx))

    The same happens for points Y and Z

    mg(hy) = 1/2 m(vy)^2 + mg(hy) ---> vy = sqrt(2*g*(hw - hy))

    and   vz = sqrt(2*g*(hw - hz))

  • GF
    Lv 6
    3 weeks ago

    Is this s new Hyundai or Kia car?

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