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What is the period of a 0.4 -kg mass suspended from a spring with a spring constant of \(40 \mathrm{N} / \mathrm{m} ?\)

A boy with a mass of \(50 \mathrm{kg}\) is hanging from a spring with a spring constant of \(200 \mathrm{N} / \mathrm{m} .\) With what frequency does the boy bounce up and down?

By what factor would you have to increase the spring constant to triple the frequency for a mass on a spring?

A train consisting of identical 10 -m boxcars passes you such that 25 boxcars pass you each minute. Find the speed of the train.

You observe that 25 crests of a water wave pass you each minute. If the wavelength is \(10 \mathrm{m},\) what is the speed of the wave?

A periodic wave on a string has a wavelength of \(25 \mathrm{cm}\) and a frequency of \(3 \mathrm{Hz}\). What is the speed of the wave?

If the breakers at a beach are separated by \(5 \mathrm{m}\) and hit shore with a frequency of \(0.3 \mathrm{Hz}\), at what speed are they traveling?

What is the distance between adjacent crests of ocean waves that have a frequency of \(0.2 \mathrm{Hz}\) if the waves have a speed of \(3 \mathrm{m} / \mathrm{s} ?\)

Sound waves in iron have a speed of about \(5100 \mathrm{m} / \mathrm{s}\) If the waves have a frequency of \(400 \mathrm{Hz}\), what is their wavelength?

For sound waves, which travel at \(343 \mathrm{m} / \mathrm{s}\) in air at room temperature, what frequency corresponds to a wavelength of \(1 \mathrm{m} ?\)