College Physics For Ap® Courses
16th Edition
ISBN: 9781938168932
Author: Gregg Wolfe, Irina Lyublinskaya, Douglas Ingram
Publisher: OpenStax
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Textbook Question
Chapter 14, Problem 81PE
Construct Your Own Problem
Consider a person outdoors on a cold night. Construct a problem in which you calculate the rate of
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ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 14 Solutions
College Physics For Ap® Courses
Ch. 14 - How is heat transfer related to temperature?Ch. 14 - Describe a situation in which heat transfer...Ch. 14 - When heal transfers into a system, is the energy...Ch. 14 - What three factors affect the heat transfer that...Ch. 14 - The brakes in a car increase in temperature by T...Ch. 14 - Heat transfer can cause temperature and phase...Ch. 14 - How does the latent heat of fusion of water help...Ch. 14 - What is me temperature of ice right after it is...Ch. 14 - If you place 0C ice into 0C water in an insulated...Ch. 14 - What effect does condensation on a glass of ice...
Ch. 14 - In my humid climates where there are numerous...Ch. 14 - In winters, if is often warmer in San Francisco...Ch. 14 - Putting a lid on a boiling pot greatly reduces the...Ch. 14 - Freeze-dried toads have been dehydrated in a...Ch. 14 - When still air cools by radiating at night, it is...Ch. 14 - In a physics classroom demonstration, an...Ch. 14 - What are the main methods of heat transfer front...Ch. 14 - Some electric sieves have a flat ceramic surface...Ch. 14 - Loosefitting white clothing covering most at the...Ch. 14 - One way to make a fireplace more energy efficient...Ch. 14 - On cold, clear nights horses will sleep under the...Ch. 14 - When watching a daytime circus in a large,...Ch. 14 - Satellites designed to observe me radiation from...Ch. 14 - Why are cloudy nights generally warmer than clear...Ch. 14 - Why are thermometers that are used in weather...Ch. 14 - On average, would Earth be warmer or cooler...Ch. 14 - On a hot day, the temperature of an 80,000L...Ch. 14 - Show that 1cal/gC=1kcal/kgC.Ch. 14 - To sterilize a 50.0g glass baby bottle, we must...Ch. 14 - The same heat transfer into identical masses of...Ch. 14 - Rubbing your hands together warms them by...Ch. 14 - A 0.250kg block at a pure material is heated from...Ch. 14 - Suppose identical amounts of heat transfer into...Ch. 14 - (a) The number of kilocalories in food is...Ch. 14 - Following Vigorous exercise, the body temperature...Ch. 14 - Even when shut down after a period of normal use,...Ch. 14 - How much heat transfer (in kilocalories) is...Ch. 14 - A bag containing 0C ice is much more effective in...Ch. 14 - (a) How much heat transfer is required to raise...Ch. 14 - The formation of condensation on a glass of ice...Ch. 14 - On a trip, you notice that a 3.50kg bag of ice...Ch. 14 - On a certain dry sunny day, a swimming pool’s...Ch. 14 - (a) How much heat transfer is necessary to raise...Ch. 14 - In 1986, a gargantuan iceberg broke away from the...Ch. 14 - How many grams of coffee must evaporate from 350 g...Ch. 14 - (a) It is difficult to extinguish a fire on a...Ch. 14 - The energy released from condensation in...Ch. 14 - To help prevent from damage, 4.00 kg at 0C water...Ch. 14 - A 0.250kg aluminum bowl holding 0.800 kg of soup...Ch. 14 - A 0.0500kg ice cube at 30.0C is placed in 0.400 kg...Ch. 14 - If you pour 0.0100 kg of 20.0C water onto a 1.20kg...Ch. 14 - Indigenous people sometimes cook in watertight...Ch. 14 - What would be the final temperature of the pan and...Ch. 14 - In some countries, liquid nitrogen is used on...Ch. 14 - Some gun fanciers make their own bullets, which...Ch. 14 - (a) Calculate the rate of heat conduction through...Ch. 14 - The rate of heat conduction out of a window on a...Ch. 14 - Calculate the rate of heat conduction out of the...Ch. 14 - Suppose you stand with one foot on ceramic...Ch. 14 - A man consumes 3000 kcal of food in one day....Ch. 14 - (a) A firewalker runs across a bed of hot coals...Ch. 14 - (a) What is the rate of heat conduction through...Ch. 14 - A walrus transfers energy by conduction through...Ch. 14 - Compare the rate of heat conduction through a...Ch. 14 - Suppose a person is covered head to foot by wool...Ch. 14 - Some stove tops are smooth ceramic for easy...Ch. 14 - One easy way to reduce heating (and cooling) costs...Ch. 14 - (a) Calculate the rate of heat conduction through...Ch. 14 - Many decisions are made on the basis of the...Ch. 14 - For the human body, what is the rate of heat...Ch. 14 - At what wind speed does 10C air cause the same...Ch. 14 - At what temperature does still air cause the same...Ch. 14 - The “steam” above a freshly made cup of instant...Ch. 14 - (a) How many kilograms of water must evaporate...Ch. 14 - On a hot dry day, evaporation from a lake has just...Ch. 14 - One winter day, the climate control system of a...Ch. 14 - The Kilauea volcano in Hawaii is the world’s most...Ch. 14 - During heavy exercise, the body pumps 2.00 L of...Ch. 14 - A person inhales and exhales 2.00 L of 37.0C air,...Ch. 14 - A glass coffee pot has a circular bottom with a...Ch. 14 - At what net rate does heat radiate from a 275m2...Ch. 14 - (a) Cherry-red embers in a fireplace are at 850C...Ch. 14 - Radiation makes it impossible to stand close to a...Ch. 14 - (a) Calculate the rate of heat transfer by...Ch. 14 - Find the net rate of heat transfer by radiation...Ch. 14 - Suppose you walk into a sauna that has an ambient...Ch. 14 - Thermography is a technique for measuring radiant...Ch. 14 - The Sun radiates like a perfect black body with an...Ch. 14 - A large body of lava from a volcano has stopped...Ch. 14 - Calculate the temperature the entire sky would...Ch. 14 - (a) A shirtless rider under a circus tent feels...Ch. 14 - Integrated Concepts One 30.0C day the relative...Ch. 14 - Integrated Concepts Large meteors sometimes strike...Ch. 14 - Integrated Concepts Frozen waste from airplane...Ch. 14 - €69. Integrated Concepts (a) A large electrical...Ch. 14 - Integrated Concepts (a) Suppose you start a...Ch. 14 - Integrated Concepts A 76.0-kg person suffering...Ch. 14 - Integrated Concepts In certain large geographic...Ch. 14 - Integrated Concepts Heat transfers from your lungs...Ch. 14 - Integrated Concepts (a) What is the temperature...Ch. 14 - Integrated Concepts Hot air rises because it has...Ch. 14 - Unreasonable Results (a) What is the temperature...Ch. 14 - Unreasonable Results A slightly deranged Arctic...Ch. 14 - Unreasonable Results (a) Calculate the rate of...Ch. 14 - Unreasonable Results A meteorite 1.20 cm in...Ch. 14 - Construct Your Own Problem Consider a new model of...Ch. 14 - Construct Your Own Problem Consider a person...
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