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Math Help - spring constant

  1. #1
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    spring constant

    A light spring which has a force constant of 8N/m is cut into two equal parts . What is the force constant for each part ??

    isnt that each part has a force constant of 8N/m ??
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  2. #2
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    Hi thereddevils

    I think it's better to post your question here :
    http://www.physicshelpforum.com

    And a little hint for you : the answer is no. Now your job is to find out the reason
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    Quote Originally Posted by thereddevils View Post
    A light spring which has a force constant of 8N/m is cut into two equal parts . What is the force constant for each part ??

    isnt that each part has a force constant of 8N/m ??
    k = 8 N/m

    that means if you apply 8 N of force, the spring stretches 1 m

    cut the spring in half ... attach them with a light non-stretchable string.

    apply a force of 8N. Each piece stretches 0.5 m

    the force in each spring "piece" is 8N

    k_{each \, piece} = \frac{F}{x} = \frac{8}{.5} = 16 N/m

    for two springs in series, the effective force constant of a single spring equivalent to the two is

    k_{eff} = \frac{k_1 \cdot k_2}{k_1 + k_2}

    k_{eff} = \frac{16 \cdot 16}{16 + 16} = \frac{16^2}{2 \cdot 16} = 8 N/m
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