A spring with spring constant 13 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled

Question

A spring with spring constant 13 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 8.5 cm and released. The ball makes 24 oscillations in 20 s seconds.

Required:
a. What is its the mass of the ball?
b. What is its maximum speed?

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Thiên Di 4 years 2021-07-15T08:37:56+00:00 1 Answers 11 views 0

Answers ( )

  1. yenoanh
    0
    2021-07-15T08:39:22+00:00
    Reply

    Answer:

    Explanation:

    T = 20/24 = 5/6 s

    ω = 2π/T = 12π/5 rad/s

    ω = √(k/m)

    m = k/ω² = 13/(12π/5)² = 325/144π² = 0.228676… ≈ 0.23 kg

    v(max) = Aω = 0.085(12π/5) = 0.640884… ≈ 0.64 m/s

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