Wei 發問時間: 科學其他:科學 · 5 年前

A mass 3.5-kg is dropped from height 5.9-m above the top of a spring of constant 3.0-N/m mounted vertically on the floor.?

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What's the spring’s maximum compression(m) ? (g=9.8 m/s2)

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  • 麻辣
    Lv 7
    5 年前
    最佳解答

    m=3.5 kg is dropped from h=5.9 m above the top of a spring of constant k=3.0 N/m mounted vertically on the floor. What's the spring’s maximum compression x=? m (g=9.8 m/s2)

    Energy equation:

    m*g*(h+x) = 0.5*k*x^2

    0 = k*x^2 - 2m*g*x - 2m*g*h

    x = {m*g + √[(m*g)^2 + 2k*m*g*h]}/k

    = {3.5*9.8 + √[(3.5*9.8)^2 + 2*3*3.5*9.8*5.9}/3

    = 27.73 m

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