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Unformatted text preview: First Letter of Last Name: l: Name: Student Number: ________
1. Consider the f owing heat pump. Its main part consists of a cylinder with piston immersed in ice water. The working gas in the cylinder is nitrogen, N2. At the start of
the cycle the volume is 1 litre, the pressure 1 atm and the gas is in equilibrium with the
ice water. The piston then compresses the gas isothermally to a volume of 0.25 litre. (a)
How much heat is expelled during this process? The piston then expands the volume to
the original volume of 1 litre so rapidly that no heat can be exchanged (adiabatic process).
(b) What is the gas temperature after this process? With the piston stationary, the gas
heats until it is again in equilibrium with the ice water, completing the cycle. (c) How
much heat is absorbed this process? (d) Sketch a PVdiagram. (e) What is the net work? "3 ’thm : ly/OSﬂa.
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I ‘ lilaer becwse {—91 is ‘50 First Letter of Last Name: Name: Student Number: Kaaf 2. A certain car consists of a 1000 kg body resting on its suspension. The 80 kg driver
drops a 200 kg load into the car and observes the car body performs damped harmonic
motion with a period T = 13. He also observes that over one period, the amplitude
decreases by a factor of 10. (a) Find the damping force constant b and the spring constant
k of the suspension. The driver then gets into the car and drives it on a bumpy road with
bumps equally spaced 6m apart. (b) At which speed in km/ h will the car bounce up and down with maximum amplitude? 'U
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Name: Kﬂg/ Student Number: f______ 3. A mass of 3.0369 is attached to a spring with motion given by the graph below.
x (cm) Fm 3”?“ Find the equation which describes the displacement as a function of time. What is the
spring constant? ...
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 Spring '08
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