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14 February, 15:24

if a spring stores 5j of energy when it is compressed by0.5m, what is the spring constant of the spring?

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  1. 14 February, 15:42
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    K = 40N/m

    Explanation:

    According to Hooke's law

    Energy = 1/2 kx^2

    K is the spring constant

    x = displacement

    From the question

    Energy = 5J

    x = 0.5m

    K = ?

    Using the above formula,

    We have

    5 = 1/2 x k x (0.5) ^2

    5 = 1/2 x k x (0.5 x 0.5)

    5 = 1/2 x k x 0.25

    5 = 0.25k / 2

    Cross multiply

    5 x 2 = 0.25k

    10 = 0.25k

    Divide both sides by 0.25 to get k

    10/0.25 = 0.25k / 0.25

    40 = k

    K = 40N/m
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