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Calculate the probability that a harmonic oscillator en = (n + 1/2) nw is a . state with n an odd number if the oscillator is in contact with a heat bath / at temperature T


A body with the mass m 5 kg lies on an inclined plane and is connected to a solid cylinder with a mass M 10 kg by a massless rope (see sketch). The rope is wound on the solid cylinder. The inclined plane has a static friction of 0.12 and a sliding friction of 0.06. The body is at rest at the beginning.

a) At what critical angle can the body overcome static friction?

b) At the critical angle the body of mass m begins to slide down the plane. Its acceleration is slowed down by the rolling of the full cylinder. How big is the acceleration of the body and how big is the tensile force in the rope?



A 500kg polar bear stands on a round ice floe (diameter 4m), which swims in the Arctic Ocean. a) What is the minimum thickness of the clod so that the paws of the Polar bears stay dry? (ρ ice = 918 kg m3, ρsaltwater = 1025 kg m3) b) Now the polar bear climbs onto another floe with the same diameter and thickness of 0.5m! Because the polar bear is constantly warming up with its paws indicates the ice floe, it will begin to melt (spec Ice qs = 333.5 kJ kg), so that the polar bear and ice floe after a certain time sink as the meltwater drains away. Energy consumption per day of B¨ars: 78MJ. How many days does it take for the polar bear to start getting wet paws? to get.


How much oil at 200 degrees Celsiusmust be added to 50g of the same oil at 20 degrees celsius to heat it to 70 degrees celsius


What are the various gas laws ? Elaborate them . What is the application of gas laws in anesthesia practice ?


If 5L of a gas is at 1.08 atm . Supposing the volume was 10L what will the volume be at a standard temperature


Imagine that a fridge has dimensions 1m by 1m by 1.9 m tall and insulated walls of 20.0cm thickness ( single layer K=0.15) . If the room is at 20°C and we set the inside temperature to 4°C then find a) the rate of thermal energy transfer b) the electric energy it uses if it has COP 1.75 c) heat energy created by fridge


An object floats in water on a planet with 10% of the object outside the water. If the container containing water falls freely , then the percentage of volume of the object inside the water is:

(a)10% (b)<10% (c)<90% (d)90%


A Carnot refrigerator is operated between two heat reservoirs at temperatures of 320 K

and 270 K.

  • If in each cycle the refrigerator receives 415 J of heat energy from the reservoir at 270 K, how many joules of heat energy does it deliver to the reservoir at 320 K?
  • If the refrigerator completes 165 cycles each minute, what power input is required to operate it?
  • What is the coefficient of performance of the refrigerator?
  1. A typical student listening attentively to a physics lecture class has a heat output of 100 W. How much heat energy does a class of 90 physics students release into a lecture hall over the course of a 50-min lecture?
  2. Assume that all the heat energy in part 1 is transferred to the 3200 m3 of air in the room. The air has a specific heat capacity of 1020 J/kg-K and a density of 1.20 kg/m3. If none of the heat escapes and the air conditioning system is off, how much will the temperature of the air in the room rise during the 50-min lecture?
  3. If the class is taking an exam, the heat output per student rises to 280 W. What is the temperature rise during 50 min in this case?
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