Time and Date Stamps (logged): 04:02:13 08-29-2008 ¯³Ÿ¯±Ÿ°²¯·Ÿ±¸Ÿ±¯¯· Physics II

General College Physics (Phy 202) Test 1

Completely document your work and your reasoning.

You will be graded on your documentation, your reasoning, and the correctness of your conclusions.

** Write clearly in dark pencil or ink, on one side of the paper only. **

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Instructions:

Directions for Student:

Test Problems:

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Constants

Constants:

k = 9*10^9 N m^2 / C^2 qE = 1.6 * 10^-19 C h = 6.63 * 10^-34 J s
energy of n=1 orbital in hydrogen atom:  -13.6 eV k '  = 9 * 10^-7 T m / amp atomic mass unit:  1.66 * 10^-27 kg
electron mass:  9.11 * 10^-31 kg speed of light:  3 * 10^8 m/s Avogadro's Number: 6.023 * 10^-23 particles/mole
Gas Constant:  R = 8.31 J / (mole K) proton mass:  1.6726 * 10^-27 kg neutron mass:  1.6749 * 10^-27 kg

 

 

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Problem Number 1

Water is descending in a vertical pipe of diameter 7 cm and open to the atmosphere.  At a lower point the water flows into a smaller pipe of diameter .77 cm.  At a certain instant the depth of the water just above the narrowing point is 31 cm and the water is moving at 87 cm/s.  What is the gauge pressure of the water just above the narrowing point?   What is the pressure change across the narrowing point?

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Problem Number 2

Analyze the pressure vs. volume of a 'bottle engine' consisting of 8 liters of an ideal gas as it operates between minimum temperature 200 Celsius and maximum temperature 360 Celsius, pumping water to half the maximum possible height.  Sketch a pressure vs. volume graph from the original state to the maximum-temperature state and use the graph to determine the useful work done by the expansion.  Then, assuming a diatomic gas, determine the thermal energy required to perform the work and the resulting practical efficiency of the process. 

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Problem Number 3

A diatomic gas in a 3-liter container is originally at 27 Celsius and atmospheric pressure. It is heated at constant volume until its temperature is 162 Celsius, then at constant pressure until the gas has increased its volume by .84 liters. How much thermal energy is required? By how much does the internal energy of the gas change? How much work is done in the process?

 

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Problem Number 4

A certain material has density 7.1 kg / liter. If .91 kg of the material are suspended from a string and immersed in water, what will be the tension in the string?

 

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Problem Number 5

A certain metal has coefficient of linear expansion 11 * 10^-6 / Celsius.   A container of this metal with a capacity of 240 liters is full of a liquid whose coefficient of volume expansion is 370 * 10^-6 / Celsius.  The entire system is heated from 273 C to 338  C.  How much liquid will overflow?

 

 

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Problem Number 6

A wall is made of a substance whose thermal conductivity is 1.78 J / (m sec Celsius).  At what rate will thermal energy flow through a wall section whose cross-sectional area is 81 m^2 and whose thickness is 35 cm,  when the inside and outside temperatures are 30 Celsius and -10.01 Celsius?