1. I have a piano string that is L = 2(m) long. It has a mass of m ...

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1. I have a piano string that is L = 2(m) long. It has a mass of m = 0.2(g) over that length. It has been tightened to a tension of T = 20(N). What is the speed of propagation for a wave along the string? Assuming that the fundamental mode has a wavelength, > = 2/2 what is the frequency of sound associated with the string? 2. I have an m = 1(kg) cube of Aluminum at room temperature. Put the cube into a insulated container with V = 1(liter) of liquid Nitrogen. After the liquid Nitrogen has boiled off what is the temperature of the Aluminum cube? 3. We have a diatomic ideal gas with a r = It starts with an initial pressure of P= 10 (kPa), an initial temperature of T = 100(K), and an initial volume of V = 1(m3). a) The gas undergoes an adiabatic expansion, doubling its volume. What is its new pressure? b) What was the work done? c) What was the heat flow into the gas? d) Now, keeping volume constant, heat is pulled out of the gas, halving the pressure. How much heat is removed? e) What is the change in internal energy?

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