Midterm2 Sample1 - First Letter of Last Name I Name Student...

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Unformatted text preview: First Letter of Last Name: I: Name: Student Number: 1. Consider the following heat pump. Its main part consists of a. cylinder with piston containing helium, He. During one cycle it can be moved from room temperature 20°C air into ice water and then again removed. At the start of the cycle, the cylinder is in room temperature air, the volume is 1 litre, the pressure is 1 atm and the temperature is 20°C. The piston then compresses the gas isothermally to 0.25 litre. (a) How much heat is rejected during this process? Then with the piston stationary, the cylinder is placed in the ice water and the gas cools until it is in equilibrium. (b) How much heat is rejected during this process? The piston then expands the volume isothermally to its original volume of 1 litre. (c) How much heat is absorbed during this process? The cylinder is then removed from the ice water, placed in room temperature air and the gas heats to 20°C with the piston stationary. (cl) Show that the net heat exchanged during the two isochoric (constant volume) processes is zero. Sketch a PV-diagram. (e) What is the net work? a.) prom$ is [Sonotk CQ -= Q) -: “(<ng 3|: bvl‘ “R12":— PQVOL gash leeches/{c FY0025“ as ARC-z, -ZO :"ATC; and nag l3 but SW (32);: "qu , camel Mqulsm First Letter of Last Name: :1 Name: Student Number: 2. A certain car consists of a 1200 kg body resting on its suspension. The 80 kg driver drives the car over a bumpy road with the bumps equally spaced 5m apart. He finds that the car shakes with maximum amplitude when his speed is 18km/ h. (a) What is the spring constant k of the suspension? After having come to rest at a gas station, the driver jumps out and observes that the car performs damped harmonic motion with period 1.058. (b) Find the damping force constant I). By what factor does the amplitude decrease in one period. 0?) (.00: [E 1: L04 Cd“ WMtWJM WWI/chain First Letter of Last Name: I: Name: Student Number: 3. A mass of 6.03:9 is attached to a spring with motion given by the graph below. x (In) Find the equation which describes the displacement as a function of time. What is the spring constant? A=5.5m LET: Lesa—mes soTz—3.2$ and co=232136 ““1 T /s ><=AcosCuJJc+ClI3 x=O Cutls ...-- ' 'I-iu‘h. ...
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