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March 25, 2017

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A roller coaster reaches the top of the steepest hill with a speed of 3.0 . It then descends the hill, which is at an average angle of 40 and is 50.0 long. Estimate its speed when it reaches the bottom. Assume kinetic friction (uk) = 0.18 .

  • Physics - ,

    Vo = 3 m/s.
    u(k) = 0.18.

    A rt. triangle is formed:
    r = 50 m. = hyp.
    A = 40 Deg.

    Y = 50*sin40 = 32.1 m. = h.
    V^2 = Vo^2 + 2g*h.
    V^2 = 3^2 + 19.6*32.1 = 638.2.
    V = 25.3 m/s = Final velocity.

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