If the mass attached to a spring is increased and the spring constant is decreased, does the proof of the oscillating does the motions incre

Question

If the mass attached to a spring is increased and the spring constant is decreased, does the proof of the oscillating does the motions increase, decrease or stay the same

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4 years 2021-08-08T17:25:07+00:00 1 Answers 15 views 0

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    2021-08-08T17:27:00+00:00

    Answer:

    Will increase

    Explanation:

    The period of an oscillating motion is the time it takes for the system to make one complete oscillation.

    The period of a spring-mass system is given by the equation:

    T=2\pi \sqrt{\frac{m}{k}}

    where:

    k is the spring constant

    m is the mass attached to the spring

    In this problem:

    – The mass of the system is increased

    – The spring constant is decreased

    We observe that:

    – The period of the system is proportional to the square root of the mass: so as the mass increases, the period will increase as well

    – The period is inversely proportional to the square root of the spring constant: so as the constant decreases, the period will increase

    Therefore, this means that in this case, the period will increase.

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