A person is watching water waves at the ocean and they notice the peak to peak d

Question

1. A person is watching water waves at the ocean and they notice the peak to peak distance between the waves is 3.4 m. They also notice there are 55 waves every 10.0 seconds passing the end of a pier. How fast are the waves going?
2. A whale sends an undersea signal to its mate and then gets a response 4.5 seconds later. How far away is the whale%u2019s mate?
3. A person sees a distant lightning strike, then 4.5 seconds later he hears the thunder clap. If it is 35 degrees Celsius, how far away was the lightning strike?
4. A single bass amplifier produces a volume of 102 dB. What is the sound level if a guitar amplifier what produces 98 dB is played at the same time?
5. A string on a guitar vibrates at 420 Hz. If the tension on the string is 102 N, what is the mass of the string if the portion that vibrates is 63.7 cm long?

Explanation / Answer

1. V=f*wavelength=5.5*3.4=18.7m/s

2.V=2d/t , d=1484*4.5/2=3339m

3.V=d/t, where d=vt or where v = 352.21 m/s so (3*10^8)4.5= 13.5*10^8 = d= 1584 m (1.58km).

4.B=(10db) log(la/lb) where 1a-sound intensity and lb=threshold or(1*10^-12 w/m^2)

5.F(2L)=sqrt(T/m/L), where 420(2*.637)=sqrt(102*.636/m) so m=2.27*10^-4 kg

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