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Compute the allowed wave function for stationary states of this system with those for a normal harmonic oscillator having the same values of m and C.
Draw the free body diagram of the lower block "as seen" from the frame of reference of the table (or ground).
Write down an expression representing the total mechanical energy of the system at the same instant.
A sample of an ideal gas has the following initial conditions V=15L, T=250K and P=1atm. It is compressed isothermally until the change in entropy is -5J/K
If the mass is displaced by 10 mm from its equilibrium position and released, for the resulting vibration, calculate:
Consider a system consisting of two objects A and B, when A and B have initial temperature T_A and T_B, and heat capacities C_VA and C_VB independent
Define the laws of thermodynamics. Include an example to support your definition.
A tube 4.4 mm in diameter is run through the stopper of a sealed 8-liter container. The tube outside the container forms a U, then runs in a straight line
Show that the pressure exerted by a Fermi gas at absolute zero is
Consider a building whose annual air-conditioning load is estimated to be 120,000 kWh in an area where the unit cost of electricity is $.10/kWh.
The heating and airflow ducts to and from the room are circular 0.30m in diameter, the room is 3mx4.5x6m and the air flow needs to be changed every 12 minutes
Consider the system of 20g (0.1 mole) sample of liquid mercury at 1bar of pressure in an open beaker. Given the data below calculate the change in entropy
The speed of sound in ether (25 deg C, 1 atm) is 976 m/s. What is the wavelength in ether produced by a tuning fork oscillating at 1000 Hz?
A coil of 100 turns is penetrated by a flux of 0.050 Wb in 0.021 s. Determine the numerical value of the average induced emf.
Consider a sample of CaO(s) at 298K and 1 atm. Does the Gibbs energy of the sample increase, decrease of remain the same
A copper piece of mass 10g is suspended by a vertical spring. The spring elongates 1cm over its natural length to keep the piece in equilibrium.
How much work would be required to move a +50e-6 test charge from a point midway between them to a point closer to either of the charges?
On planet Tehar, the free fall acceleration is the same as that on Earth but there is also strong downward electric field with the field being uniform
A hot body cools from 90 degree celcius to 80 degree celcius in 5 minutes when placed in a room of temperature 30 deg C
Show that the decrease of amplitude is the same for each cycle of oscillation.
The air temperature above coastal areas is profoundly influenced by the large specific heat capacity of water. How large of a volume of air can be cooled
A person removes a 10.5 kg stereo amplifier from a shelf that is 1.82 m high. The amplifier is lowered at a constant speed to a height of 0.75 m.
Find by integration its moment of inertia about an axis perpencicular to the rod at its center of mass.
Consider a 2-level system with an energy splitting between the upper and lower level. Using Boltzmann statistics, show that the heat capacity of the 2-level
A 1.0x10^-3 kg spider is hanging vertically by a thread that has a Young's modulus of 4.5x10^9 N/m^2 and a radius of 13x 10^-6.