A 0.50-�F and a 1.4-�F capacitor (C1 and C2, respectively) are connected in series to a 17-Vbattery.

1. Calculate the potential difference across each capacitor. What is V1, V2? Express your answers using two significant figures separated by a comma.

2. Calculate the charge on each capasitor. What is Q1, Q2? Express your answers using two significant figures separated by a comma.

3. Calculate the potential difference across each capacitor assuming the two capacitors are in parallel. Express your answers using two significant figures separated by a comma.

4. Calculate the charge on each capasitor assuming the two capacitors are in parallel. What is Q1, Q2? Express your answers using two significant figures separated by a comma.

The density of helium is 7 times smaller than air. For any gas, the speed of sound is given by v= (Pressure/Gas Density) ^1/2. If the pressure is kept the same, what is the speed of sound in helium?

A man is running at speed c (much less than the speed of light) to catch a bus already at a stop. At t=0, when he is a distance b from the door to the bus, the bus starts moving with the positive acceleration a.
Use a coordinate system with x=0 at the door of the stopped bus.

a)

What is xman(t), the position of the man as a function of time?

Answer symbolically in terms of the variables b, c, and t.

3. The density of CH₃CN 0.786 g/ml and the density of CH₃OH is 0.791g/ml. A solution is made by dissolving 22.5ml of CH₃OH in 98.7ml. Of CH₃CN.

a. What is the mole fraction of methanol in the solution?

b. What is the molality of the solution?

c. Assuming that the volumes are additive, what is the molarity of CH3OH in the solution?

4. Consider two solutions, one formed by adding 10 g of glucose to 1L of water and the other formed by adding 10g of sucrose to 1L of water. Calculate the vapor pressure for each solution at 20oZC; the vapor pressure of pure water at this temperature is 17.5 torr.

A gasoline engine has a power output of 150 kW. If its thermal efficiency is 33%, how much heat must be supplied to keep the engine running for 18 s to reach the end of a street? (in J) (Note: express your answer in scientific notation, for instance: 3.14

An ideal gas with ? = 1.5 is used as the working substance in the cylinder of an engine undergoing a Carnot cycle. The temperature of the hot reservoir is 240?C, that of the cold, 50?C. The gas is expanded isothermally at 240?C from a pressure of 10 atm (1 atm = 1.01 ? 105 N m-2) and a volume of 1 liter to a pressure of 4 atm and a volume of 2.5 liters. Between what limits of pressure and volume does the gas operate when it is in thermal equilibrium with the cold reservoir?

6.   What is the freezing point of a solution (water) that boils at 105.0^oC??

7. The Henry's law constant of helium gas in water at 30^oC is 3.7 X 10-4 M/atm and the constant for Nitrogen (N₂) at 30^oC is 6.0 X10-4 M/atm

          a. How many M of helium are dissolved in a solution if it is at 3 atm?

          b. How many M of Nitrogen are dissolved in a solution if it is at 75 atm?

8.   List the following aqueous solutions in order of decreasing freezing point:

0.04 m glycerine                 0.020 m Kbr                     0.03 m Phenol

Question 29.6 on p. 982 of the textbook university physics 13th edition states that a magnet would reach terminal velocity even if there is no air resistance. How would air resistance change the situation? Is it significant?

03.2 A boat must cross a 190-m-wide river and arrive at a point 30 m upstream from where it starts (see figure). To do so, the pilot must head the boat at an angle ?         = 40

Draw the following circuits:

a. (1 pt) What is the purpose of a rectifier circuit?

b. (2 pts) Half

I am interested in examples of crackpots coming up with correct results in physics.

Why do mainstream physicists look down so much upon "crackpots"?

What basic law of Physics tells us that a laser cannot produce 100% monochromatic light?

Explain the origin of Transverse Electromagnetic Modes (TEM modes) in a commercial laser. Use words and diagrams as necessary.

Explain the concept of collisional broadening in a gas laser

The Kwik-Freez Appliance Co wants you to design a food freezer that will keep the freezing compartment at -5.00?C and will operate in a room at 20.0?C. The freezer is to make 5.80kg of ice at 0 ?C, starting with water at 20.0?C.

a) Find the least possible amount of electrical energy needed to make this ice

b) Find the smallest possible amount of heat expelled into the room.