College Physics 11E Global Edition
11th Edition
ISBN: 9781337620338
Author: SERWAY/VUILLE
Publisher: CENGAGE Learning Custom Publishing
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Textbook Question
Chapter 4.2, Problem 4.3QQ
Respond to each statement, true or false: (a) No force of gravity acts on an astronaut in an orbiting space station. (b) At three Earth radii from the center of Earth, the acceleration of gravity is one-ninth its surface value. (c) If two identical planets, each with surface gravity g and volume V, coalesce into one planet with volume 2V, the surface gravity of the new planet is 2g. (d) One kilogram of gold would have greater value on Earth than on the Moon.
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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 4 Solutions
College Physics 11E Global Edition
Ch. 4.2 - Which of the following statements are true? (a) An...Ch. 4.2 - Which has greater value, a newton of gold on Earth...Ch. 4.2 - Respond to each statement, true or false: (a) No...Ch. 4.2 - A small sports car collides head-on with a massive...Ch. 4.4 - If you press a book flat against a vertical wall...Ch. 4.4 - A crate is sitting in the center of a flatbed...Ch. 4.4 - Suppose your friend is sitting on a sled and asks...Ch. 4.6 - Consider the two situations shown in Figure 4.30,...Ch. 4.6 - For the woman being pulled forward on the toboggan...Ch. 4 - A passenger sitting in the rear of a bus claims...
Ch. 4 - A space explorer is moving through space far from...Ch. 4 - (a) If gold were sold by weight, would you rather...Ch. 4 - If you push on a heavy box that is at rest, you...Ch. 4 - A ball is held in a persons hand. (a) Identify all...Ch. 4 - A weight lifter stands on a bathroom scale. (a) As...Ch. 4 - (a) What force causes an automobile to move? (b) A...Ch. 4 - If only one force acts on an object, can it be in...Ch. 4 - In the: motion picture It Happened One Night...Ch. 4 - Analyze the motion of a rock dropped in water in...Ch. 4 - Identify the action-reaction pairs in the...Ch. 4 - Draw a free-body diagram for each of the following...Ch. 4 - In a tug-of-war between two athletes, each pulls...Ch. 4 - Suppose you are driving a car at a high speed. Why...Ch. 4 - As a block slides down a frictionless incline,...Ch. 4 - A crate remains stationary after it has been...Ch. 4 - In Figure 4.4, a locomotive has broken through the...Ch. 4 - If an object is in equilibrium, which of the...Ch. 4 - A truck loaded with sand accelerates along a...Ch. 4 - A large crate of mass m is placed on the back of a...Ch. 4 - Which of the following statements are true? (a) An...Ch. 4 - A woman is standing on the Earth. In terms of...Ch. 4 - An exoplanet has twice the mass and half the...Ch. 4 - Choose the best answer. A car traveling at...Ch. 4 - The heaviest invertebrate is the giant squid,...Ch. 4 - A football punter accelerates a football from rest...Ch. 4 - A 6.0-kg object undergoes an acceleration of 2.0...Ch. 4 - One or more external forces are exerted on each...Ch. 4 - A bag of sugar weighs 5.00 lb on Earth. What would...Ch. 4 - A freight train has a mass of 1.5 107 kg. If the...Ch. 4 - Four forces act on an object, given by A = 40.0 N...Ch. 4 - Consider a solid metal sphere (S) a few...Ch. 4 - As a fish jumps vertically out of the water,...Ch. 4 - A 5.0-g bullet leaves the muzzle of a rifle with a...Ch. 4 - A boat moves through the water with two forces...Ch. 4 - Two forces are applied to a car in an effort to...Ch. 4 - A 970.-kg car starts from rest on a horizontal...Ch. 4 - An object of mass m is dropped from the roof of a...Ch. 4 - After falling from rest from a height of 30.0 m, a...Ch. 4 - The force exerted by the wind on the sails of a...Ch. 4 - A force of 30.0 N is applied in the positive...Ch. 4 - What would be the acceleration of gravity at the...Ch. 4 - Calculate the magnitude of the normal force on a...Ch. 4 - A horizontal force of 95.0 N is applied to a...Ch. 4 - A car of mass 875 kg is traveling 30.0 m/s when...Ch. 4 - A student of mass 60.0 kg, starting at rest,...Ch. 4 - A 1.00 103-N crate is being pushed across a level...Ch. 4 - A block of mass m = 5.8 kg is pulled up a = 25...Ch. 4 - A rocket takes off from Earths surface,...Ch. 4 - A man exerts a horizontal force of 125 N on a...Ch. 4 - A horse is harnessed to a sled having a mass of...Ch. 4 - A block of mass 55.0 kg rests on a slope having an...Ch. 4 - A dockworker loading crates on a ship finds that a...Ch. 4 - Suppose the coefficient of static friction between...Ch. 4 - The coefficient of static friction between the...Ch. 4 - Two identical strings making an angle of = 30.0...Ch. 4 - A 75-kg man standing on a scale in an elevator...Ch. 4 - A crate of mass m = 32 kg rides on the bed of a...Ch. 4 - (a) Find the tension in each cable supporting the...Ch. 4 - The distance between two telephone poles is 50.0...Ch. 4 - (a) An elevator of mass m moving upward has two...Ch. 4 - A certain orthodontist uses a wire brace to align...Ch. 4 - A 150-N bird feeder is supported by three cables...Ch. 4 - The leg and cast in Figure P4.40 weigh 220 N (w1)....Ch. 4 - A 276-kg glider is being pulled by a 1 950-kg jet...Ch. 4 - A crate of mass 45.0 kg is being transported on...Ch. 4 - Consider a large truck carrying a heavy load, such...Ch. 4 - A student decides to move a box of books into her...Ch. 4 - An object falling under the pull of gravity is...Ch. 4 - A 3.00-kg block starts from rest at the top of a...Ch. 4 - To meet a U.S. Postal Service requirement,...Ch. 4 - A block of mass 12.0 kg is sliding at an initial...Ch. 4 - The person in Figure P4.49 weighs 170. lb. Each...Ch. 4 - A car is traveling at 50.0 km/h on a flat highway....Ch. 4 - A 5.0-kg bucket of water is raised from a well by...Ch. 4 - A hockey puck struck by a hockey stick is given an...Ch. 4 - A setup similar to the one shown in Figure P4.53...Ch. 4 - An Atwoods machine (Fig. 4.38) consists of two...Ch. 4 - A block of mass m1 = 16.0 kg is on a frictionless...Ch. 4 - Two blocks each of mass m are fastened to the top...Ch. 4 - Two blocks of masses m and 2m are held in...Ch. 4 - The systems shown in Figure P4.58 are in...Ch. 4 - Assume the three blocks portrayed in Figure P4.59...Ch. 4 - Two packing crates of masses 10.0 kg and 5.00 kg...Ch. 4 - A 1.00 103 car is pulling a 300.-kg trailer....Ch. 4 - Two blocks of masses m1 and m2 (m1 m2) are placed...Ch. 4 - In Figure P4.63, the light, taut, unstretchable...Ch. 4 - An object with mass m1 = 5.00 kg rests on a...Ch. 4 - Objects with masses m1 = 10.0 kg and m2 = 5.00 kg...Ch. 4 - Two objects with masses of 3.00 kg and 5.00 kg are...Ch. 4 - In Figure P4.64, m1 = 10. kg and m2 = 4.0 kg. The...Ch. 4 - A block of mass 3m is placed on a frictionless...Ch. 4 - A 15.0-lb block rests on a horizontal floor, (a)...Ch. 4 - Objects of masses m1 = 4.00 kg and m2 = 9.00 kg...Ch. 4 - Two blocks each of mass m = 3.50 kg are fastened...Ch. 4 - As a protest against the umpires calls, a baseball...Ch. 4 - Three objects are connected on a table as shown in...Ch. 4 - (a) What is the minimum force of friction required...Ch. 4 - (a) What is the resultant force exerted by the two...Ch. 4 - A woman at an airport is towing her 20.0-kg...Ch. 4 - A boy coasts down a hill on a sled, reaching a...Ch. 4 - Three objects are connected by light strings as...Ch. 4 - A box rests on the back of a truck. The...Ch. 4 - A high diver of mass 70.0 kg steps off a board...Ch. 4 - A frictionless plane is 10.0 m long and inclined...Ch. 4 - Measuring coefficients of friction A coin is...Ch. 4 - A 2.00-kg aluminum block and a 6.00-kg copper...Ch. 4 - On an airplanes takeoff, the combined action of...Ch. 4 - Two boxes of fruit on a frictionless horizontal...Ch. 4 - A sled weighing 60.0 N is pulled horizontally...Ch. 4 - A car accelerates down a hill (Fig. P4.87), going...Ch. 4 - An inventive child wants to reach an apple in a...Ch. 4 - The parachute on a race car of weight 8 820 N...Ch. 4 - A fire helicopter carries a 620-kg bucket of water...Ch. 4 - The board sandwiched between two other boards in...Ch. 4 - A 72-kg man stands on a spring scale in an...
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