Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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Chapter 36, Problem 14Q
Explain how the length contraction and time dilation formulas might be used to indicate that c is the limiting speed in the universe.
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What do you understand by time dilation? What is proper time and establish a relation for proper time. A beam of particle of half-life 2×10-8 sec travels in laboratory with speed 0.96 times the speed of light. How much distance does the beam travel before the flux falls to ½ time the initial flux.
Explain the fact the special theory of relativity defines the limits for the validity of Newtonian mechanics.
A woman living in galaxy X is about to deliver her first baby. The nearest hospital is in galaxy Y, which is 1.0 x 1012 m away. The woman flew to the hospital in her spaceship
at 0.8c. She gave birth one hour after she started flying as timed by her. From the point
of view of the nurses at the hospital:
i) What was the elapsed time when the woman watch indicated one hour?
ii) Howfar did she travel in that one hour?
iii) Was the baby born in the hospital? Justify your answer
Chapter 36 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 36 - You are in a windowless car in an exceptionally...Ch. 36 - You might have had the experience of being at a...Ch. 36 - Prob. 3QCh. 36 - Does the Earth really go around the Sun? Or is it...Ch. 36 - If you were on a spaceship traveling at 0.5c away...Ch. 36 - The time dilation effect is sometimes expressed as...Ch. 36 - Does time dilation mean that time actually passes...Ch. 36 - Prob. 8QCh. 36 - If you were traveling away from Earth at speed...Ch. 36 - Do time dilation and length contraction occur at...
Ch. 36 - Discuss how our everyday lives would be different...Ch. 36 - Explain how the length contraction and time...Ch. 36 - The drawing at the start of this Chapter shows the...Ch. 36 - Prob. 16QCh. 36 - Can a particle of nonzero mass attain the speed of...Ch. 36 - Prob. 18QCh. 36 - If mass is a form of energy, does this mean that a...Ch. 36 - Prob. 20QCh. 36 - Is our intuitive notion that velocities simply...Ch. 36 - (II) A friend speeds by you in her spacecraft at a...Ch. 36 - (I) Suppose in Fig. 3611 that the origins of S and...Ch. 36 - (II) An unstable particle is at rest and suddenly...Ch. 36 - Prob. 37PCh. 36 - Prob. 39PCh. 36 - (II) How much energy can be obtained front...Ch. 36 - Prob. 47PCh. 36 - Prob. 55PCh. 36 - A spacecraft (reference frame S) moves past Earth...Ch. 36 - As a rough rule, anything traveling faster than...
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- A woman living in galaxy X is about to deliver her first baby. The nearest hospital is in galaxy Y, which is 1.0 x 1012 m away. The woman flew to the hospital in her spaceship at 0.8c. She gave birth one hour after she started flying as timed by her. From the point of view of the nurses at the hospital: i) What was the elapsed time when the woman watch indicated one hour?ii) How far did she travel in that one hour?iii) Was the baby born in the hospital? Justify your answerarrow_forwardName: Hubble Distances Redshift z parameter The relativistic redshift is parametrized by z and given by Δ In terms of the scale factor, 2= X do - de de 1+z= ao a (2) Problem 01. Find the redshift z for a Hydrogen spectral line originally at 656 nm which has been observed at a wavelength of 1.64 μm. Astro 001 Fall 2022 Problem 02. How much smaller was the universe when this light was emitted? U₁ = DHO Using the redshift to measure the velocity, we find D~ (1) 0.1 Hubble's Law Hubble's Law states that the recession velocity of a redshifted galaxy is given by the product of the distance and the Hubble constant. (3) ZC Ho where c = 3 x 108 m/s and Ho = 2.3 x 10-18 s in standard units. The standard measurement of the Hubble constant is Ho = 71 (km/s)/Mpc. Problem 03. What is the distance in Mpc and ly to the galaxy measured in problem 01? 1 pc = 3.26 ly.arrow_forwardImagine an alien spaceship traveling so fast that it crosses our galaxy (whose rest diameter is 100,000 ly) in only 100 y of spaceship time. Observers at rest in the galaxy would say that this was possible because the ship's speed B was so close to 1 that the proper time it measured between its entry into and departure from the galaxy was much shorter than the galaxy frame coordinate time (~ 100,000 y) between those events. But how does this look to the aliens? To them, their clocks are running normallu, but the galaxy, which moves backward relative to them at speed B~1, is Lorentz-contracted to a bit less than 100 ly across: this is what makes it possible for the whole galaxy to fly by them in only 100 y. Then find the diameter of the galaxy in the aliens' frame, and verify that it is possible for a galaxy moving at speed B with this diameter to passthe aliens' ship completely in 100y. Answer: 0.9999995arrow_forward
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Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY