A container holds gas at 0.00°C. To what temperature must it be heated for its pressure
to double, assuming that the container does not expand?
A 2m3 volume of gas at 27.0°C is (a) heated to 327°C then (b) cooled to -123°C, both
while the pressure is constant. What are the volumes of the gas in (a) and (b)?
A glass volumetric flask holds exactly 250.00mℓ at 20.0◦C. (a) What volume would the flask hold at 50.0◦C? (b) Suppose the flask is filled with water at 50.0◦C. If the volume of the water had been 250.00mℓ at 20.0◦C, what volume would the water have at 50.0◦C? (c) Suppose instead that the flask is empty (which really means that it’s full of air). If the air inside is heated from 20.0◦C to 50.0◦C, what would the new volume of the air be?
A 15.00cm long bimetal strip is aluminum on one side and copper on the other. If the two metals are the same length at 20.0◦C, how long will each be at 800.◦C?
A sample of argon gas was cooled, and its volume went from 380.mℓ to 250.mℓ. If its final temperature was −45.0◦C, what was its original temperature?
A 4.5 kg dog stands on an 18 kg flatboat at distance D=6.1 m from the shore. It walks 2.4 m along the boat toward shore and then stops. Assuming no friction between the boat and the water, find how far the dog is then from the shore.
A tube 1.20 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.330 m long and has a mass of 9.60 g. It is fixed at both ends and oscillates in its funda- mental mode. By resonance, it sets the air column in the tube into oscillation at that column’s fundamental frequency. Find (a) that frequency and (b) the tension in the wire.
A physical therapist gone wild has constructed the (station- ary) assembly of massless pulleys and cords seen in Fig. 12-24. One long cord wraps around all the pulleys, and shorter cords suspend pulleys from the ceiling or weights from the pulleys. Except for one, the weights (in newtons) are indicated. (a) What is that last weight? (Hint: When a cord loops halfway around a pulley as here, it pulls on the pulley with a net force that is twice the tension in the cord.) (b) What is the tension in the short cord labeled T?
A wheel is rotating freely at angular speed 800 rev/min on a shaft whose rotational inertia is negligible. A sec- ond wheel, initially at rest and with twice the rotational inertia of the first, is suddenly coupled to the same shaft. (a) What is the angular speed of the resultant combination of the shaft and two wheels? (b) What fraction of the original rotational kinetic energy is lost?
A wheel is rotating freely at angular speed
800 rev/min on a shaft whose rotational inertia is negligible. A second wheel, initially at rest and with twice the rotational inertia of the
first, is suddenly coupled to the same shaft. (a) What is the angular
speed of the resultant combination of the shaft and two wheels?
(b) What fraction of the original rotational kinetic energy is lost?