The potential energy stored in the compressed spring of a dart gun, with a spring constant of 31.50 N/m, is 1.240 J. Find by how much is the

Question

The potential energy stored in the compressed spring of a dart gun, with a spring constant of 31.50 N/m, is 1.240 J. Find by how much is the spring is compressed.

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Ladonna 4 years 2021-07-20T19:27:19+00:00 1 Answers 11 views 0

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  1. thienan
    0
    2021-07-20T19:28:43+00:00
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    Answer:

    0.281  m

    Explanation:

    Applying,

    W = 0.5ke²……………… Equation 1

    Where W = Workdone by the stretched spring, k = spring constant, e = extension/ compression of the spring

    make e the subject of the equation

    e = √(2W/k)……………. Equation 2

    From the question,

    Given: W = 1.240J, k = 31.50 N/m

    Substitute these values into equation 2

    e = √(2×1.240/31.50)

    e = √(0.07873)

    e = 0.281  m

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