Time and Date Stamps (logged): 17:12:20 06-10-2020 °¶Ÿ°±Ÿ±¯¯µŸ°¯Ÿ±¯±¯
** Write clearly in dark pencil or ink, on one side of the paper only. **
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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 1The velocity of a confined fluid of density 1000 kg/m^3 changes from 8.6 m/s to 5.5 m/s with no change in altitude, and with no dissipative forces at work. What will be the change in pressure?
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Problem Number 2A uniform cylinder of cross-sectional area 45 square meters is filled with water to a depth of 90 meters above its outflow valve.
By how much does the potential energy of the system, as measured with respect to the outflow valve, increase if water is pumped in from the level of the outflow valve until the depth increases to 90.5 meters?
If water is then allowed to flow from the cylinder through the small outflow valve until the water returns to its original level, what will be the total kinetic energy of the outflowing water and what will be its average speed, assuming no dissipative losses?
Solve this problem by energy considerations only. Then solve using Bernoulli's Equation.
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Problem Number 3If the pressure at a depth of 5.6 meters in water is 54880 N/m^2, then how much force will there be on a rectangle whose dimensions are 4 m by 4.1 m?
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Problem Number 4A calorimetry experiment indicates that 651.75 Joules of energy are required to increase the temperature of a 15 kg sample of the substance by 55 degrees Celsius. What is the specific heat of the substance?
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Problem Number 5Find the efficiency of a heat engine does 77.5 Joules of work and from which 232.5 Joules of thermal energy are removed or dissipated during a cycle.
a = fnf(10,1000,10)
dummy = fnf(.5,.99,.01)
b = a * dummy
c = a - b
vbl1 = b + c
cor = c / vbl1
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Problem Number 6A wall conducts thermal energy at the rate of 73.1 watts. The wall has cross-sectional area 16 m^2, thickness .36 m and inside and outside temperatures 186 and 30 Celsius. What is the thermal conductivity of the material of which the wall is composed?
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Problem Number 7The particles in a cylindrical container have velocities randomly distributed in 3 dimensions. The container contains 4500 * 10^6 particles, each of mass 4.090571E-06 Kg. Assume that the particles always have a uniform velocity of 102.6 m/s. The particles collide with a wall which is one of the parallel walls of a rectangular 'box', separated by 15 meters from its counterpart. What is the average force exerted on this wall?
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Problem Number 8Water is under pressure 150000 N/m^2 in a tube whose radius is .19 m. What is the pressure after the tube narrows to radius .095 m, if water in the .19 m part of the tube flows at 2.9 m/s?
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Problem Number 9A closed system is sealed so that no gas can enter or leave the system. The system is held at constant temperature.
The system is observed to have a pressure of 103.1 kN/m^2 when its volume is 1.39 m^3. What is the pressure when the volume is increased to 5.143 m^3?.