FUND.OF PHYSICS (LL)-PRINT COMP.VOL.2
12th Edition
ISBN: 9781119801269
Author: Halliday
Publisher: WILEY
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Chapter 9, Problem 92P
Two blocks of masses 1.0 kg and 3.0 kg are connected by a spring and rest on a frictionless surface. They are given velocities toward each other such that the 1.0 kg block travels initially at 1.7 m/s toward the center of mass, which remains at rest. What is the initial speed of the other block?
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Question B3
Consider the following FLRW spacetime:
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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,
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[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]
Page 2
SECTION A
Answer ALL questions in Section A
[Expect to use one single-sided A4 page for each Section-A sub question.]
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Consider Minkowski spacetime in Cartesian coordinates th
=
(t, x, y, z), such that
ds² = dt² + dx² + dy² + dz².
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[2 marks]
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[5 marks]
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Suppose that A, is a covector field, and consider the object
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Chapter 9 Solutions
FUND.OF PHYSICS (LL)-PRINT COMP.VOL.2
Ch. 9 - A 2.00 kg particle has the xy coordinates 1.20 m,...Ch. 9 - ILW A stone is dropped at t = 0. A second stone,...Ch. 9 - GO A 1000 kg automobile is at rest at a traffic...Ch. 9 - A big olive m = 0.50 kg lies at the origin of an...Ch. 9 - Prob. 12PCh. 9 - GO Ricardo, of mass 80 kg, and Carmelita, who is...Ch. 9 - A 0.70 kg ball moving horizontally at 5.0 m/s...Ch. 9 - A 0.30 kg softball has a velocity of 15 m/s at an...Ch. 9 - In February 1955, a paratrooper fell 370 m from an...Ch. 9 - A 1.2 kg ball drops vertically onto a floor,...
Ch. 9 - In a common but dangerous prank, a chair is pulled...Ch. 9 - SSM A force in the negative direction of an x axis...Ch. 9 - In tae-kwon-do, a hand is slammed down onto a...Ch. 9 - Suppose a gangster sprays Supermans chest with 3 g...Ch. 9 - Jumping up before the elevator hits. After the...Ch. 9 - GO Figure 9-51 shows a 0.300 kg baseball just...Ch. 9 - A 0.25 kg puck is initially stationary on an ice...Ch. 9 - SSM A soccer player kicks a soccer ball of mass...Ch. 9 - SSM A 91 kg man lying on a surface of negligible...Ch. 9 - A space vehicle is traveling at 4300 km/h relative...Ch. 9 - An object, with mass m and speed v relative to an...Ch. 9 - SSM WWW A 20.0 kg body is moving through space in...Ch. 9 - A 4.0 kg mess kit sliding on a frictionless...Ch. 9 - A vessel at rest at the origin of an xy coordinate...Ch. 9 - GO Particle A and particle B are held together...Ch. 9 - A bullet of mass 10 g strikes a ballistic pendulum...Ch. 9 - A 5.20 g bullet moving at 672 m/s strikes a 700 g...Ch. 9 - Prob. 53PCh. 9 - A completely inelastic collision occurs between...Ch. 9 - ILW A 5.0 kg block with a speed of 3.0 m/s...Ch. 9 - SSM A cart with mass 340 g moving on a...Ch. 9 - Two titanium spheres approach each other head-on...Ch. 9 - Block 1 of mass m1 slides along a frictionless...Ch. 9 - SSM A body of mass 2.0 kg makes an elastic...Ch. 9 - Block 1, with mass m1 and speed 4.0 m/s, slides...Ch. 9 - ILW In Fig. 9-21, projectile particle 1 is an...Ch. 9 - Ball B, moving in the positive direction of an x...Ch. 9 - After a completely inelastic collision, two...Ch. 9 - Two 2.0 kg bodies, A and B, collide. The...Ch. 9 - GO A projectile proton with a speed of 500 m/s...Ch. 9 - A 6090 kg space probe moving nose-first toward...Ch. 9 - Prob. 78PCh. 9 - SSM ILW A rocket that is in deep space and...Ch. 9 - An object is tracked by a radar station and...Ch. 9 - The last stage of a rocket, which is traveling at...Ch. 9 - A ball having a mass of 150 g strikes a wall with...Ch. 9 - A spacecraft is separated into two parts by...Ch. 9 - SSM A 1400 kg car moving at 5.3 m/s is initially...Ch. 9 - ILW A certain radioactive parent nucleus...Ch. 9 - A 75 kg man rides on a 39 kg cart moving at a...Ch. 9 - Two blocks of masses 1.0 kg and 3.0 kg are...Ch. 9 - Prob. 93PCh. 9 - An old Chrysler with mass 2400 kg is moving along...Ch. 9 - A rocket is moving away from the solar system at a...Ch. 9 - A 0.15 kg ball hits a wall with a velocity of 5.00...Ch. 9 - Prob. 99PCh. 9 - Prob. 100PCh. 9 - Prob. 101PCh. 9 - Prob. 102PCh. 9 - Prob. 103PCh. 9 - Prob. 104PCh. 9 - Prob. 105PCh. 9 - Prob. 106PCh. 9 - Prob. 107PCh. 9 - Prob. 108PCh. 9 - Prob. 109PCh. 9 - Prob. 110PCh. 9 - Prob. 111PCh. 9 - Prob. 112PCh. 9 - Prob. 113PCh. 9 - Prob. 114PCh. 9 - Prob. 115PCh. 9 - Prob. 116PCh. 9 - Prob. 117P
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