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1. A constant-volume gas thermometer is calibrated in dry ice (-80.0°C ) and in boiling ethyl alcohol (78.0°C ). The respective pressures are 0.900 atm and 1.635 atm. (Note that we have the linear relationship P = A + BT, where A and B are constants.)

(a) What value of absolute zero does the calibration yield?

(b) What pressures would be found at the freezing and boiling points of water?
freezing point atm

boiling point atm

2. A construction worker uses a steel tape to measure the length of an aluminum support column. If the measured length is 24.700 m when the temperature is 21.2°C, what is the measured length when the temperature rises to 31.4°C? (Note: Do not neglect the expansion of the steel tape. Give your answer to three decimal places.)


3. An air bubble has a volume of 1.80 cm3 when it is released by a submarine 120 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume that the temperature and the number of air molecules in the bubble remains constant during its ascent.


4. A 1.4 m long glass tube that is closed at one end is weighted and lowered to the bottom of a freshwater lake. When the tube is recovered, an indicator mark shows that water rose to within 0.32 m of the closed end. Determine the depth of the lake. Assume constant temperature.

5. An expandable cylinder has its top connected to a spring with force constant 2.00 103 N/m. (See Fig. P10.58.) The cylinder is filled with 5.00 L of gas with the spring relaxed at a pressure of 1.00 atm and a temperature of 20.0°C.

Figure P10.58
(a) If the lid has a cross-sectional area of 0.0100 m2 and negligible mass, how high will the lid rise when the temperature is raised to T = 230°C?

(b) What is the pressure of the gas at 230°C?

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Miscellaneous physics question

1. Competitive divers pull their limbs in a curl up their bodies when they do flips. Just before entering the water, they fully extend their limbs to enter straight down. Explain the effect of both actions on their angular velocity. What is the effect of these actions on their angular momentum?

2. What is the final velocity of a hoop that rolls without slipping down a 5.00 m high hill, starting from rest?

3. Three children are riding on the edge of a 1.60-m-radius, 100 kg merry-go-round, spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child with a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

4. A ball slides up a ramp without friction. It is then rolled without slipping and with the same initial velocity up another ramp. In which case does it reach a greater height, and why?

5. (a) Calculate the angular momentum of the earth in its orbit around the sun. (b) Compare this with the angular momentum of the earth on its axis.

6. A yo-yo may be modeled as a small cylinder of mass 0.12 kg and radius 8.0 cm. (A) What is the rotational inertia of such a yo-yo? (B) As the yo-yo unwinds from the string, its angular speed goes up, from 0 to 40 radians per second in a period of 1.4 seconds. What is the net torque on the yo-yo? (C) What is the yo-yo's angular momentum at the end of the period described above? (D) When the yo-yo is rotating at 40 radians per second, how many revolutions is it making each second?

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