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16 December, 10:21

A 0.415-kg mass suspended from a spring undergoes simpleharmonic oscillations with a period of 1.4 s. How much mass, inkilograms, must be added to the object to change the period to2.2 s?

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  1. 16 December, 10:56
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    m=0.893kg

    Explanation:

    time period of oscillations is given by = 2π√ (m/k)

    m: mass of the object

    k: spring constant

    when T=1.5 and m=0.415

    1.5 = 2π√ (0.415/k)

    k = 7.27 N/m

    when T = 2.2s

    2.2 = 2π√ (m/7.27)

    m=0.893kg
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