A.) A gemstone of mass 1.8 kg compresses a scale’s spring by 2.6 cm. Determine the spring constant. B.) How much would the

Question

A.) A gemstone of mass 1.8 kg compresses a scale’s spring by 2.6 cm.
Determine the spring constant.

B.) How much would the spring in the previous question compress if a 5.2 kg mass was placed on the scale?

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Minh Khuê 4 years 2021-08-29T00:03:55+00:00 1 Answers 7 views 0

Answers ( )

  1. Dulcie
    0
    2021-08-29T00:05:54+00:00
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    Explanation:

    Given that,

    Mass, m = 1.8 kg

    Compression, x = 2.6 cm

    We know that,

    Force on spring = weight

    So,

    mg=kx

    Where

    k is spring constant

    k=\dfrac{mg}{x}\\\\k=\dfrac{1.8\times 9.8}{2.6\times 10^{-2}}\\\\k=678.46\ N/m

    (2) If m = 5.2 kg

    x=\dfrac{mg}{k}\\\\x=\dfrac{1.8\times 9.8}{678.46}\\\\x=2.6 \ cm

    Hence, this is the required solution.

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