Inquiry into Physics
Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 1, Problem 1PIP

To what extent was Aristotle’s model of falling bodies correct? How was it wrong?

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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 1 Solutions

Inquiry into Physics

Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 11QCh. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 15QCh. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 17QCh. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 24QCh. 1 - Prob. 25QCh. 1 - Prob. 26QCh. 1 - Prob. 27QCh. 1 - A yacht is 20 m long. Express this length in feet.Ch. 1 - Prob. 2PCh. 1 - A convenient time unit for short time intervals is...Ch. 1 - One mile is equal to 1,609 m. Express this...Ch. 1 - A hypnotist, watch hanging from a chain swings...Ch. 1 - The quartz crystal used in an electric watch...Ch. 1 - A passenger jet flies from one airport to another...Ch. 1 - At the 2006 Winter Olympics in Torino, Italy, U.S....Ch. 1 - A runner in a marathon passes the 5-mile mark at 1...Ch. 1 - . The Moon is about 3.8 ×108 m from Earth....Ch. 1 - . In Figure 1.13, assume that m/s and m/s. Use a...Ch. 1 - . On a day when the wind is blowing toward the...Ch. 1 - . How far does a car going 25 m/s travel in 5 s?...Ch. 1 - . A long-distance runner has an average speed of 4...Ch. 1 - . Draw an accurate graph showing distance versus...Ch. 1 - The graph in Figure 1.38 shows the distance versus...Ch. 1 - . A high-performance sports car can go from 0 to...Ch. 1 - . As a baseball is being thrown it goes from 0 to...Ch. 1 - . A child attaches a rubber ball to string and...Ch. 1 - . A child sits on the edge of spinning...Ch. 1 - . A runner is going 10 m/s around a curved section...Ch. 1 - During a NASCAR race, a car goes 50 m/s around a...Ch. 1 - . A rocket accelerates from rest at a rate of 64...Ch. 1 - . Initially staionary, a train has a constant...Ch. 1 - . (a) Draw an accurate graph of the speed versus...Ch. 1 - . Draw an accurate graph of the velocity versus...Ch. 1 - . A skydiver jumps out of a helicopter and falls...Ch. 1 - . A rock is dropped off the side of a bridge and...Ch. 1 - . The roller coaster in Figure 1.39 starts at the...Ch. 1 - . During takeoff, an airplane goes from 0 to 50...Ch. 1 - Prob. 31PCh. 1 - . A bungee jumper falls for 1.3 s before the...Ch. 1 - . A drag-racing car goes from 0 to 300 mph in 5 s....Ch. 1 - Prob. 1CCh. 1 - The Moon's mass is 7.35 1022 kg, and it moves in a...Ch. 1 - A car is stopped at a red light. When the light...Ch. 1 - A spoils car is advertised to have a maximum...Ch. 1 - A spacecraft lands on a newly discovered planet...Ch. 1 - Prob. 6CCh. 1 - Prob. 7CCh. 1 - A race car starts from rest on a circular track...Ch. 1 - Prob. 9C
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