PHYS 313 Assignment #1
Most of the problems below are taken from Fundamentals of Physics -- Halliday, Resnick, and Walker 7th ed. You will have to look up information to do various problems. Be sure to quote your sources.
1. An office window has dimensions 3.4 m by 2.0 m. As a result of the passage of a storm, the outside air pressure drops to 0.96 atm, but inside the pressure is held at 1.0 atm. What net force pushes out on the window?
2. The actual pressure inside a container is 0.75 atm. What is the gauge pressure inside the container?
3. Find the pressure increase in the fluid in a syringe when a nurse applies a force of 39 N to the syringe's circular piston, which has a radius of 1.1 cm.
4. Calculate the hydrostatic difference in blood pressure between the brain and the foot in a person of height 1.68 m. The density of blood is 1.06 X103 kg/m3.
5. Crew members attempt to escape from a damaged submarine 80 m below the surface. The submarine is kept at 1 atm inside. What force must the crew apply to a pop-out hatch, which is 1.2 m by 0.70 m, to push it out at that depth?
6. The L-shaped tank shown in Figure 14-33 is filled with water and is open at the top. d = 3.5 m. (Give magnitude and direction of forces.)
Fig. 14-33
(a) What is the force on face A due to the water?
(b) What is the force on face B due to the water?
7. To suck lemonade of density 1000 kg/m3 up a straw to a maximum height of 5 cm, what gauge pressure (in atmospheres) must you produce in your lungs?
8. A temperature of 60oF corresponds to what temperature on the Celsius scale? On the Kelvin scale? On the Rankine scale?
9. A brass disk of radius 30 cm is fitted inside an aluminum ring of radius 30 cm. The fit is just snug when the setup is submerged in ice-water. The setup is removed from the ice-water and allowed to come to equilibrium with room temperature (22oC). Find the gap between the disk and the ring at room temperature (assume the gap is the same all around).
10. Oxygen gas (assumed ideal) having a volume of 1050 cm3 at 40.0°C and 1.01 X104 Pa expands until its volume is 1650 cm3 and its pressure is 1.06X104 Pa.
(a) Find the number of moles of oxygen present.
(b) Find the final temperature of the sample.