## IN ALL PROBLEMS USE g = 10m/s^2 for simpler calculations

IN ALL PROBLEMS USE g = 10m/s^2 for simpler calculations.1. A spring with negligible mass stretches 34.0 cm when a 144 g gram mass is suspended from it. Now I suspend a mass m from the spring. If it oscillates at an angular frequency of 4.51 rad/s, what is the mass?2. A 3.45 kg mass vertically compresses a spring 67.0 cm before it starts to rebound. Assume the mass is placed NOT dropped. How high will the mass move above the uncompressed if the mass is left to âbounceâ back up?3. A transverse traveling wave on a cord is represented by D = 0.25 sin (6.8x + 28t) where D and x are in meters and t is in seconds.a) Determine the wavelength of this wave.b) Determine the frequency of this wave.c) Determine the speed of this wave.d) Determine the amplitude of this wave.f) Determine maximum and minimum speeds of particles of the cord.4. 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?5. A whale sends an undersea signal to its mate and then gets a response 4.5 seconds later. How far away is the whaleâs mate?6. 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?7. 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? UPDATE on Problem # 7 : You are given the volume value in dB for two sound sources. the formula for B, B = 10*log(base 10) (I/I(0)). Inverting this we get I = I(0) *10^(B/10). I(0) = 1E^-12 W/m^2. If you have a scientific calculator you plug in for each volume and get the proper I value for each. The units are W/m^2. Now: Now to get the total sound level you need to know how to add them.The formula to use is B = 10*log(base10) [(I(1) +I(2))]/I(0) the units are dB8. 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?

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