A. Guillaume puts a bottle of soft drink in a refrigerator and leaves it there until its temperature has dropped 15.7 K .

What is the magnitude of its temperature change |ΔT|= 15.7 K in degrees Celsius?

B. A glass flask whose volume is 1000 cm3 at a temperature of 0.300 ∘C is completely filled with mercury at the same temperature. When the flask and mercury are warmed together to a temperature of 52.0 ∘C , a volume of 8.25 cm3 of mercury overflows the flask.

If the coefficient of volume expansion of mercury is βHg = 1.80×10⁻⁴ /K , compute βglass, the coefficient of volume expansion of the glass.

Express your answer in inverse kelvins.

C. Consider an ideal gas at 27.0 degrees Celsius and 1.00 atmosphere pressure. Imagine the molecules to be uniformly spaced, with each molecule at the center of a small cube.

What is the length L of an edge of each small cube if adjacent cubes touch but don't overlap?

Express your answer numerically in meters.

D. Determine the temperature at which the Celsius and Fahrenheit scales give the same numerical reading (TC=TF).

E. A glass is filled to the brim with 360.0 mL of water at 100.0 ∘C.

If the temperature of glass and water is decreased to 20.0 ∘C, how much water could be added to the glass?

F. A storage tank at STP contains 26.9 kg of nitrogen (N2). What is the volume of the tank? What is the pressure if an additional 25.3 kg of nitrogen is added without changing the temperature?

G. 60.5 L of oxygen at 16.0 ∘C and an absolute pressure of 3.25 atm are compressed to 38.6 Land at the same time the temperature is raised to 51.0 ∘C. What will the new pressure be?

H.

What is the rms speed of nitrogen molecules contained in a 7.9 m3 volume at 2.9 atm if the total amount of nitrogen is 2300 mol ?

Express your answer to two significant figures and include the appropriate units.

Possible Duplicate:
From how high could have Felix Baumgartner jumped without disintegrating like a shooting star?

If a human can skydive from an altitude of 24 miles (39 km), and a satellite can stay in geostationary orbit at 22,236 miles (35,786 km), then what is the maximum altitude from which a human can theoretically "skydive."

Furthermore, what would be that humans' fastest speed? (Felix went 834 mph.)

A. A convex lens has a focal length of 5.74704 cm. The object distance is 7.11538 cm. Find the image distance.
Answer in units of cm. Find the magnification.
B. A concave lens has a focal length of 35.0689 cm. The object distance is 17.2727 cm. Find the image distance.
Answer in units of cm. Find the magnification.

C. A convex lens has a focal length of 10.4082 cm. The object distance is 6.07143 cm. Find the image distance.
Answer in units of cm.

1. FM radio stations use radio waves with frequencies from 88.0 to 108 MHz to broadcast their signals. Assuming that the inductance in Figure 24.4 has a value of 7.00 × 10^-7 H, determine the range of capacitance values that are needed so the antenna can pick up all the radio waves broadcasted by FM stations.

2. An ac series circuit has an impedance of 114 Ω , and the phase angle between the current and the voltage of the generator is φ = -77 ˚. The circuit contains a resistor and either a capacitor or an inductor. Find (a) the resistance R and (b) the capacitive reactance X_C or the inductive reactance X_L, whichever is appropriate.

Two thin lenses with a focal length of magnitude 12.0 cm, the first diverging and the second converging, are located 9.00 cm apart. An object 2.50 mm tall is placed 20.0 cm to the left of the first (diverging) lens. (a) How far from this first lens is the final image formed? (b) Is the final image real or virtual? (c) What is the height of the final image? Is it noninverted or inverted?

A crate of mass 9.0 kg is pulled up a rough incline with an initial speed of 1.52 m/s. The pulling force is 90 N parallel to the incline, which makes an angle of 20.8

You throw a penny (m = 2.5 g) with an initial speed of 9.4 m/s at 25◦ above the horizontal. At the maximum height of your thrown penny’s path another penny, traveling straight upward, collides and bounces off of your penny. The speed of the second penny at the moment of collision was 4.1 m/s. a) Determine the maximum height your thrown penny reaches as a result of this collision. b) How far, horizontally, does your penny travel before reaching the ground (assume that the penny was thrown from the ground). Hint: Make sure to account for BOTH directions at ALL times.)

A ballplayer catches a ball 3.2 s after throwing it vertically upward. With what speed did he throw it? What height did it reach?

Im trying to derive Cp - Cv = R where Cp and Cv are the molar specific heats at constant pressure and volume respectively. (R = 8.314 J/(mol*K)). So I'm only having problems with the last step.

I get that for a process at constant pressure we have:

∆E(internal) = Q + W = nCp∆T - P∆V

And I get that for a process at constant volume we have:

∆E(internal) = Q + W = Q + 0 => ∆E(internal) = Q

The last step is setting these two equations equal to one another, but I don't understand how we know that the internal energy of both processes are the same.

Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (4He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.47 ✕ 10−13 J, and the masses of the helium and gold nuclei were 6.68 ✕ 10−27 kg and 3.29 ✕ 10−25 kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) a)If a helium nucleus scatters to an angle of 108° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. b)What is the final kinetic energy (in J) of the helium nucleus?

A Light of wavelength 650 nm falls on two slits and produces an interference pattern in which the third-order bright red fringe is 47 mm from the central fringe on a screen 1.4 m away.

What is the separation of the two slits?

B In a double-slit experiment, the third-order maximum for light of wavelength 520 nm is located 17 mm from the central bright spot on a screen 1.6 m from the slits. Light of wavelength 630 nm is then projected through the same slits. How far from the central bright spot will the second-order maximum of this light be located?

C Light of wavelength 620 nm falls on a slit that is 3.70×10⁻³ mm wide. How far the first bright diffraction fringe is from the strong central maximum if the screen is 10.5 m away.

D A grating that has 3900 slits per cm produces a third-order fringe at a 27.0 ∘ angle.

What wavelength of light is being used?

E Red laser light from a He-Ne laser (λ = 632.8 nm) creates a second-order fringe at 53.2∘ after passing through the grating. What is the wavelength λ of light that creates a first-order fringe at 22.0 ∘ ?

F Light of wavelength 670 nm passes through two narrow slits 0.65 mm apart. The screen is 2.40 m away. A second source of unknown wavelength produces its second-order fringe 1.21 mm closer to the central maximum than the 670 nm light. What is the wavelength of the unknown light?

In the drawing, the rope and the pulleys are massless, and there is no friction. The larger block has a mass of 10.03kg and the smaller block has a mass of 3.85kg.

A spaceship leaves the earth, starting from rest and accelerating at a constance rate of 10m/s^2. its destination is the Moon, 380,000 km from earth. ignore size of earth and moon. Assume that both are at rest.

a.) At this rate of acceleration how long will it take the spacecraft to reach the moon?

for part b assume the spaceship accelerates to a halfway point (same acceleration as a)and then begins to deccelerate to have a final velocity of 0 when it reaches the moon.

b.) With the new method how long will it take for the spaceship to reach the moon?

the spaceship is carrying a probe which it can launch ouot of the front end of the spacecraft with a speed of 5000 m/s with respect to the spaceship.

c.) Assume the spaceship is traveling the same way as part b, at what distance from the moon should the probe be launched so that it will reach the moon at the same time as the saceship?

suppose the spaceship also has a probe that it can launch in the backward direction at the same speed of 5000 m/s with respect to the ship.

d.) In this case what distance from the moon should the probe be launched so that it will reach the moon at the same time as the ship?

Need to know how to do this type of work for my exam. An explained answer so i can follow along is greatly appreciated thank you in advance.

(1) A 190-kg object and a 490-kg object are separated by 4.40 m.

(a) Find the magnitude of the net gravitational force exerted by these objects on a 63.0-kg object placed midway between them. [N]

(b) At what position (other than an infinitely remote one) can the 63.0-kg object be placed so as to experience a net force of zero from the other two objects? [m from the 490 kg mass toward the 190 kg mass ]

(2)

(a) What is the minimum speed, relative to the Sun, necessary for a spacecraft to escape the solar system if it starts at the Earth's orbit? [km/s]

(b) Voyager 1 achieved a maximum speed of 125,000 km/h on its way to photograph Jupiter. Beyond what distance from the Sun is this speed sufficient to escape the solar system? [m]

I really need help with these 2 questions! Just need a final answer, little explanation required but please include the numerical work so I can understand and also please follow the units in the [brackets]

A) Determine the acceleration of a 25.0 kg mass down a frictionless incline plane (angle of incline=30 degrees)

B) Repeat the above problem for an incline with a coefficient of friction of 0.15.