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March 26, 2017

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A spring has a length of 0.260 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 1.90 kg mass hangs from it.(a) What is the force constant of the spring?(b) What is the unloaded length of the spring?

  • physics - ,

    m1*g = 0.30kg * 9.8N/kg = 2.94 N.
    L1 = 0.26 m.

    m2*g = 1.90kg * 9.8N/kg = 18.62 N.
    L2 = 0.75 m.

    a. K = (N2-N1)/(L2-L1)
    K = (18.62-2.94)/(0.75-0.26) = 32 N/M

    b. (2.94N/32N) * 1M = 0.092 M.

    L + 0.092 = 0.26
    L = 0.26 - 0.092 = 0.168 M.

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