Physics:f/sci.+engrs.,ap Ed.
10th Edition
ISBN: 9781337553469
Author: Jewett, SERWAY
Publisher: Cengage
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Textbook Question
Chapter 9, Problem 36AP
(a) Figure P9.36 shows three points in the operation of the ballistic pendulum discussed in Example 9.6 (and shown in Fig. 9.10b). The projectile approaches the pendulum in Figure P9.36a. Figure P9.36b shows the situation just after the projectile is captured in the pendulum. In Figure P9.36c, the pendulum arm has swung upward and come to rest momentarily at a height A above its initial position. Prove that the ratio of the kinetic energy of the projectile–pendulum system immediately after the collision to the kinetic energy immediately before is m1|/(m1 + m2). (b) What is the ratio of the momentum of the system immediately after the collision to the momentum immediately before? (c) A student believes that such a large decrease in mechanical energy must be accompanied by at least a small decrease in momentum. How would you convince this student of the truth?
Figure P9.36 Problem. 36 and 43. (a) A metal ball moves toward the pendulum. (b) The ball is captured by the pendulum. (c) The ball–pendulum combination swings up through a height h before coming to rest.
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
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[2 marks]
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[3 marks]
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d) The Friedmann equations are
2
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а
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+
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)
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f)
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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
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[10 marks]
c)
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[5 marks]
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e)
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Chapter 9 Solutions
Physics:f/sci.+engrs.,ap Ed.
Ch. 9.1 - Two objects have equal kinetic energies. How do...Ch. 9.1 - Your physical education teacher throws a baseball...Ch. 9.3 - Two objects are at rest on a frictionless surface....Ch. 9.3 - Rank an automobile dashboard, seat belt, and air...Ch. 9.4 - In a perfectly inelastic one-dimensional collision...Ch. 9.4 - A table-tennis ball is thrown at a stationary...Ch. 9.6 - A baseball bat of uniform density is cut at the...Ch. 9.7 - A cruise ship is moving at constant speed through...Ch. 9 - A particle of mass m moves with momentum of...Ch. 9 - A 3.00-kg particle has a velocity of...
Ch. 9 - A baseball approaches home plate at a speed of...Ch. 9 - A 65.0-kg boy and his 40.0-kg sister, both wearing...Ch. 9 - Two blocks of masses m and 3m are placed on a...Ch. 9 - When you jump straight up as high as you can, what...Ch. 9 - A glider of mass m is free to slide along a...Ch. 9 - You and your brother argue often about how to...Ch. 9 - The front 1.20 m of a 1 400-kg car Ls designed as...Ch. 9 - The magnitude of the net force exerted in the x...Ch. 9 - Water falls without splashing at a rate of 0.250...Ch. 9 - A 1 200-kg car traveling initially at vCi = 25.0...Ch. 9 - A railroad car of mass 2.50 104 kg is moving with...Ch. 9 - Four railroad cars, each of mass 2.50 104 kg, are...Ch. 9 - A car of mass m moving at a speed v1 collides and...Ch. 9 - A 7.00-g bullet, when fired from a gun into a...Ch. 9 - A tennis ball of mass 57.0 g is held just above a...Ch. 9 - (a) Three carts of masses m1 = 4.00 kg, m2 = 10.0...Ch. 9 - You have been hired as an expert witness by an...Ch. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - A 90.0-kg fullback running east with a speed of...Ch. 9 - A proton, moving with a velocity of vii, collides...Ch. 9 - A uniform piece of sheet metal is shaped as shown...Ch. 9 - Explorers in the jungle find an ancient monument...Ch. 9 - A rod of length 30.0 cm has linear density (mass...Ch. 9 - Consider a system of two particles in the xy...Ch. 9 - The vector position of a 3.50-g particle moving in...Ch. 9 - You have been hired as an expert witness in an...Ch. 9 - Prob. 30PCh. 9 - A 60.0-kg person bends his knees and then jumps...Ch. 9 - A garden hose is held as shown in Figure P9.32....Ch. 9 - A rocket for use in deep space is to be capable of...Ch. 9 - A rocket has total mass Mi = 360 kg, including...Ch. 9 - An amateur skater of mass M is trapped in the...Ch. 9 - (a) Figure P9.36 shows three points in the...Ch. 9 - Review. A 60.0-kg person running at an initial...Ch. 9 - A cannon is rigidly attached to a carriage, which...Ch. 9 - A 1.25-kg wooden block rests on a table over a...Ch. 9 - A wooden block of mass M rests on a table over a...Ch. 9 - Two gliders are set in motion on a horizontal air...Ch. 9 - Pursued by ferocious wolves, you are in a sleigh...Ch. 9 - Review. A student performs a ballistic pendulum...Ch. 9 - Why is the following situation impossible? An...Ch. 9 - Review. A bullet of mass m = 8.00 g is fired into...Ch. 9 - Review. A bullet of mass m is fired into a block...Ch. 9 - A 0.500-kg sphere moving with a velocity expressed...Ch. 9 - Prob. 48APCh. 9 - Review. A light spring of force constant 3.85 N/m...Ch. 9 - Prob. 50APCh. 9 - Review. There are (one can say) three coequal...Ch. 9 - Sand from a stationary hopper falls onto a moving...Ch. 9 - Two particles with masses m and 3m are moving...Ch. 9 - On a horizontal air track, a glider of mass m...
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