What is the period of 0.35 kg mass suspended from a spring with a spring constan

Question

What is the period of 0.35 kg mass suspended from a spring with a spring constant of N/m? A mass oscillates up and down on a vertical spring with an amplitude of 6 cm and a period of 2 s. What total distance does the mass travel in 6 seconds? cm A boy with mass of 50 kg is hanging from a spring with a spring constant of 190 N/m. With what frequency does the boy bounce up and down? Hz A pendulum has a length of 30 m. What is its period? A girl with a mass of 40 kg is swinging from amiddotrope with a length at 3.7 m. What is the frequency of her swinging? Hz You observe that 28 crests of a water wave pass you each minute. If the wavelength is 10 m, what is the speed of the wave? m/s If the breakers at a beach are separated by 5.5 m and hit shore with a frequency of 0.34 Hz, with whet speed are they traveling? m/s Sound waves in iron have a speed of about $100 m/s. If the waves have a frequency of 325 Hz, what is their wavelength? m What is the fundamental frequency on a 4 m rope that is bed at both ends if the speed of the waves is 16 m/s? Hz Tweety Bird hops up and down at a frequency of 0.6 Hz on a power line at the midpoint between the poles, which are separated by 22 m. Assuming Tweety is exciting the fundamental standing wave, is the wavelength for this standing wave?) m/s

Explanation / Answer

3) Period T = 2 pi x square root (m/k) = 2*3.14*(0.35 kg/54 N/m)^1/2
= 0.51 sec.

6) Period T = 2 pi x square root (l/g) = 2*3.14*(30 m/ 10 m/s^2)^1/2
= 10.88 sec

9) The wavelength is 5.5 meters, the frequency is .34 Hz, so the
velocity (speed in one direction) = 5.5 m x .34 s^-1 = 1.87 m/s

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