Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
2nd Edition
ISBN: 9780137443000
Author: Eugenia Etkina, Gorazd Planinsic
Publisher: PEARSON+
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Chapter 10, Problem 74RPP
To determine
The expression that represents the period
for one oscillation from Earth’s surface through the center, to the other side, and then back again, from the following options:
a.
b.
c.
d.
e.
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
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a)
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[2 marks]
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[3 marks]
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d) The Friedmann equations are
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3
a
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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
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]
Chapter 10 Solutions
Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
Ch. 10 - Review Question 10.1 Can we say that the period of...Ch. 10 - Review Question 10.2 The velocity of an object...Ch. 10 - Review Question 10.3
What will happen to the...Ch. 10 - Review Question 10.4 The period of vibration of a...Ch. 10 - Review Question 10.5 Your grandfathers pendulum...Ch. 10 - Why was it important to assume that the springs...Ch. 10 - Review Question 10.7 What features of damped...Ch. 10 - Review Question 10.8 Describe the phenomenon of...Ch. 10 - 1. What are the features that make vibrational...Ch. 10 - 2. What does it mean if the amplitude of an...
Ch. 10 - 3. What does it mean if the period of an object’s...Ch. 10 - 4. What is the period of the kinetic or the...Ch. 10 - 5. A cart undergoing simple harmonic motion has a...Ch. 10 - The period of the object attached to a spring is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - Which of the following arguments can be used to...Ch. 10 - 10. (a) Give three common examples of vibrational...Ch. 10 - An object of known mass hangs at the end of a...Ch. 10 - Describe two different ways to estimate the spring...Ch. 10 - You have a small metal ball attached to a 1.0-m...Ch. 10 - 14. A pendulum clock is running too fast. Explain...Ch. 10 - What simplifications were used to derive the...Ch. 10 - A pendulum clock is moved from the Mississippi...Ch. 10 - 17. Oil is often found in a geological structure...Ch. 10 - A pendulum and a block hanging at the end of a...Ch. 10 - Will me frequency of vibration of a swing when you...Ch. 10 - The amplitude of vibration of a swing slowly...Ch. 10 - 23. If you walk with your arms hanging down, they...Ch. 10 - You have a pendulum with a 1-m string. What is the...Ch. 10 - 1. A low-friction cart is placed between two...Ch. 10 - * You have a ball bearing ano a bowl. You let the...Ch. 10 - 3. Draw a sketch of a pendulum indicate the...Ch. 10 - Draw a graph showing the position-versus-time...Ch. 10 - Suppose that at time zero the can attached to the...Ch. 10 - * (a) Sketch a motion diagram and a...Ch. 10 - * Devise a position-versus-time function that...Ch. 10 - * The position of a vibrating object changes as a...Ch. 10 - * The velocity of a vibrating object changes as a...Ch. 10 - 11. * A cart at the end of a spring undergoes...Ch. 10 - 12. ** Refer to the situation in Problem 10.1. (a)...Ch. 10 - You exert a 100-N pull on the end of a spring....Ch. 10 - Metronome You want to make a metronome for music...Ch. 10 - Determine the frequency of vibration of the cart...Ch. 10 - 16. * A spring with a cart at its end vibrates at...Ch. 10 - 17. A cart with mass m vibrating at the end of a...Ch. 10 - 18. * A 300-g apple is placed on a horizontal...Ch. 10 - ** A 2.0-kg cart vibrates at the end of an 18-N/m...Ch. 10 - * What were the main ideas that we used to derive...Ch. 10 - 21. * A spring with a spring constant of 1200 N/m...Ch. 10 - 22. * A person exerts a 15-N force on a cart...Ch. 10 - 23. A spring with spring constant has a 1.4-kg...Ch. 10 - * Proportional reasoning By what factor must we...Ch. 10 - Proportional reasoning By what factor must we...Ch. 10 - 26. Monkey trick at zoo A monkey has a cart with a...Ch. 10 - 27. * A frictionless cart attached to a spring...Ch. 10 - A 2.0-kg cart attached to a spring undergoes...Ch. 10 - 29 * The motion of a cart attached to a horizontal...Ch. 10 - 30. Pendulum clock Shawn wants to build a clock...Ch. 10 - Show that the expression for the frequency of a...Ch. 10 - A pendulum swings with amplitude 0.020 m and...Ch. 10 - 33. * Proportional reasoning You are designing a...Ch. 10 - 34. * Building demolition A 500-kg ball at the end...Ch. 10 - 35. * You have a pendulum with a long string whose...Ch. 10 - * Variations in g The frequency of a person's...Ch. 10 - 37. EST A graph of position versus time for an...Ch. 10 - Determine the period of a 1.3-m-long pendulum on...Ch. 10 - * You have a simple pendulum that consists of a...Ch. 10 - * Equation Jeopardy The following expression...Ch. 10 - 41. * Trampoline vibration When a 60-kg boy sits...Ch. 10 - * Proportional reasoning if you double the...Ch. 10 - 43. * Pendulum on Mars The frequency of a pendulum...Ch. 10 - 44. * bio EST Annoying sound low-frequency...Ch. 10 - 45.** A 1.2-kg block sliding at 6.0 m/s on a...Ch. 10 - 108 kg. The tower sways back and forth at a...Ch. 10 - ** You shoot a 0.050-kg arrow into a 0.50-kg...Ch. 10 - 48. * You have a pendulum whose length is 1.3 m...Ch. 10 - * You hang a 0.10-kg block from a spring, causing...Ch. 10 - 50. * imagine that you have a cart on a spring...Ch. 10 - 51. Describe one situation from everyday life in...Ch. 10 - EST twins on a swing How frequently do you need to...Ch. 10 - 53. (a) Determine the maximum speed of a girl on a...Ch. 10 - Prob. 54PCh. 10 - 55. * Feeling road vibrations in a car if the...Ch. 10 - 57. A spring oscillator and a simple pendulum have...Ch. 10 - * You attach a block (mass m) to a spring (spring...Ch. 10 - * You attach a 1.6-kg object to a spring, pull it...Ch. 10 - 60. * Traveling through Earth A hole is drilled...Ch. 10 - 61. * EST Estimate the effective spring constant...Ch. 10 - *Galileos pendulum The length L of a pendulum is...Ch. 10 - 63. * A 0.5-kg low-friction cart is moving at...Ch. 10 - 103N/m. Determine (a) by how much the ball...Ch. 10 - 67. * A 5.0-g bullet traveling horizontally at an...Ch. 10 - at the start of the swinging. (a) Determine an...Ch. 10 - 70. ** Foucault's pendulum in 1851, the French...Ch. 10 - pushed to the left with initial speed v0....Ch. 10 - Prob. 72RPPCh. 10 - Prob. 73RPPCh. 10 - Prob. 74RPPCh. 10 - Prob. 75RPPCh. 10 - Prob. 76RPPCh. 10 - Prob. 77RPPCh. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...
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