Final_Questions - down the string? (d) Planet X has 4 times...

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PHYS 2425 - Practice Final Problems Possibly Useful Information: g = 9.80m/s 2 , G = 6.67 × 10 -11 N m 2 /kg 2 , 1atm = 1.013 × 10 5 Pa, 0 ° C = 273K, α alum = 23 × 10 -6 / C ° , ρ alum = 2700 kg/m 3 , 1 m 3 = 1000 liter For water: c = 4186 J/(kg C ° ) , c ice = 2090 J/(kg C ° ) , L f = 3.33 × 10 5 J/kg , L v = 2.26 × 10 6 J/kg Problem 1 (a) How long does it take for a pulse to travel the length of a 20m long aluminum wire with a 3mm diameter under a tension of 80N? The density (mass/volume) of aluminum is 2700 kg/m 3 . (b) A liquid fills an aluminum container to the brim. When the temperature of both the liquid and aluminum is increased from 20 ° C to 100 ° C, 2% of the liquid spills out. What is the coefficient of volume expansion of the liquid? (c) A wave of the form: y(x,t) = 0.05m cos[ (2 m -1 ) x + (500 s -1 ) t ] travels down a string with a linear density of 3 × 10 -4 kg/m. What are the wavelength and frequency of the wave and average power transmitted
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Unformatted text preview: down the string? (d) Planet X has 4 times the earth’s mass and orbits the sun every 27 years. What is the radius of its orbit in AU, where 1 AU is the earth-sun distance? Problem 2 (a) 1500 J of heat flows out of gas as it is compressed from point A to point B in the PV-diagram as shown. What is the change in the internal energy of the gas? (b) An astronaut stands on the surface of a spherical asteroid with a 400 m radius and a 5 × 10 12 kg mass. What is the gravitational acceleration on the surface and with what speed must he jump to fully escape the gravity of the asteroid? Problem 3 (a) A heat engine takes 2300 J of heat from a boiling water and vents 2000 J of heat to the environment at 20 ° C. What is the efficiency of this heat engine? (b) What is the maximum efficiency of the heat engine in part (a)?...
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Final_Questions - down the string? (d) Planet X has 4 times...

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