If it requires 4.0 J of work to stretch a particular spring by 2.0 cm from its equilibrium length, how much more work will be required to st

Question

If it requires 4.0 J of work to stretch a particular spring by 2.0 cm from its equilibrium length, how much more work will be required to stretch it an additional 4.0 cm?

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Nho 4 years 2021-09-01T11:48:33+00:00 1 Answers 39 views 0

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  1. dangkhoa
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    2021-09-01T11:50:31+00:00
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    Answer:

    16J

    Explanation:

    From hookes law

    The work done in a spring is given as W =1/2ke^2

    Given that the force constant (k) is constant in the spring material

    We have that 2W = e^2

    Let W1 = 4J e1= 2cm e2 = 4cm

    Let W2 be the work required to stretch it an additional 4cm

    W1/ W2 = e1^2/e2^2

    W2 = W1* e2^2 / e1^2

    = 4* 4^2 /2^2

    =4× 16 / 4

    = 16J

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