Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133954057
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 46, Problem 38P
(a)
To determine
At what rate the
(b)
To determine
When the speed of the ball is greater now or when the string was shorter.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0×109 ly ly away is receding from us at 0. 0.900c , at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c , as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from the Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)
esc
a) 10 points) Gravitational Time Dilation. The escape velocity from the surface (radius r) of a star or
planet of mass M is given by the formula v = (2GM/r). Use this expression to write the time-dilation
fraction, At/t, in terms of the ratio of vesc to the speed of light, c. Hint: This is just a simple exercise in
substitution.
5.98 x 1024 kg
b) (10 points) Extra Lifetime on the Surface of Earth. The Earth has mass MEarth
and radius REarth 6.38 x 10 m. What is the fractional time-dilation (At/t) for someone on the Earth's
surface? How much longer (At) is a typical lifetime on the surface of Earth, compared to someone in deep
space, far away from Earth? Assume a typical human life span of t = 80 years.
I
The Millennium Falcon is approximately 35.2 m long. There are conflicting reports, but the Falcon made the Kessel Run in approximately 12.27 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length
equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult
or dangerous points to jump between to make the trip so short. Let's imagine that the Millennium Falcon travels at 0.96c during the 12.27 parsec Kessel Run.
What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year.
X light-year
What distance, in light-year, does Han Solo measure for the trip as he pilots the ship?
light-year
Which person measures the proper distance of the trip?
Which person would measure the proper length of the Millennium Falcon?
Chapter 46 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 46.2 - Prob. 46.1QQCh. 46.5 - Prob. 46.3QQCh. 46.5 - Prob. 46.4QQCh. 46.8 - Prob. 46.5QQCh. 46.8 - Prob. 46.6QQCh. 46 - Prob. 1OQCh. 46 - Prob. 2OQCh. 46 - Prob. 3OQCh. 46 - Prob. 4OQCh. 46 - Prob. 5OQ
Ch. 46 - Prob. 6OQCh. 46 - Prob. 7OQCh. 46 - Prob. 8OQCh. 46 - Prob. 1CQCh. 46 - Prob. 2CQCh. 46 - Prob. 3CQCh. 46 - Prob. 4CQCh. 46 - Prob. 5CQCh. 46 - Prob. 6CQCh. 46 - Prob. 7CQCh. 46 - Prob. 8CQCh. 46 - Prob. 9CQCh. 46 - Prob. 10CQCh. 46 - Prob. 11CQCh. 46 - Prob. 12CQCh. 46 - Prob. 13CQCh. 46 - Prob. 1PCh. 46 - Prob. 2PCh. 46 - Prob. 3PCh. 46 - Prob. 4PCh. 46 - Prob. 5PCh. 46 - Prob. 6PCh. 46 - Prob. 7PCh. 46 - Prob. 8PCh. 46 - Prob. 9PCh. 46 - Prob. 10PCh. 46 - Prob. 11PCh. 46 - Prob. 12PCh. 46 - Prob. 13PCh. 46 - Prob. 14PCh. 46 - Prob. 15PCh. 46 - Prob. 16PCh. 46 - Prob. 17PCh. 46 - Prob. 18PCh. 46 - Prob. 19PCh. 46 - Prob. 20PCh. 46 - Prob. 21PCh. 46 - Prob. 22PCh. 46 - Prob. 23PCh. 46 - Prob. 24PCh. 46 - Prob. 25PCh. 46 - Prob. 26PCh. 46 - Prob. 27PCh. 46 - Prob. 28PCh. 46 - Prob. 29PCh. 46 - Prob. 30PCh. 46 - Prob. 31PCh. 46 - Prob. 32PCh. 46 - Prob. 33PCh. 46 - Prob. 34PCh. 46 - Prob. 35PCh. 46 - Prob. 36PCh. 46 - Prob. 37PCh. 46 - Prob. 38PCh. 46 - Prob. 39PCh. 46 - Prob. 40PCh. 46 - Prob. 41PCh. 46 - Prob. 42PCh. 46 - Prob. 43PCh. 46 - Prob. 44PCh. 46 - The various spectral lines observed in the light...Ch. 46 - Prob. 47PCh. 46 - Prob. 48PCh. 46 - Prob. 49PCh. 46 - Prob. 50PCh. 46 - Prob. 51APCh. 46 - Prob. 52APCh. 46 - Prob. 53APCh. 46 - Prob. 54APCh. 46 - Prob. 55APCh. 46 - Prob. 56APCh. 46 - Prob. 57APCh. 46 - Prob. 58APCh. 46 - An unstable particle, initially at rest, decays...Ch. 46 - Prob. 60APCh. 46 - Prob. 61APCh. 46 - Prob. 62APCh. 46 - Prob. 63APCh. 46 - Prob. 64APCh. 46 - Prob. 65APCh. 46 - Prob. 66APCh. 46 - Prob. 67CPCh. 46 - Prob. 68CPCh. 46 - Prob. 69CPCh. 46 - Prob. 70CPCh. 46 - Prob. 71CPCh. 46 - Prob. 72CPCh. 46 - Prob. 73CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?arrow_forwardShow that the velocity of a star orbiting its galaxy in a circular oibit is inversely proportional to the square root of its orbital radius, assuming the mass of the stars inside its orbit acts like a single mass at the center of the galaxy. You may use an equation from a previous chapter to support your conclusion, but you must justify its use and define all terms used.arrow_forwardTwo astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?arrow_forward
- With regard to reference frames, how does general relativity differ from special relativity?arrow_forwardThe nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away from Earth. Given that the Milky Way galaxy (Fig. P1.81) is roughly a disk of diameter 1021 m and thickness 1019 m, estimate the number of neutron stars in the Milky Way to the nearest order of magnitude. Figure P1.81arrow_forwardWhat is the relative velocity of two spaceships if one fires a missile at the other at 0.750c and the other observes it to approach at 0.950c?arrow_forward
- Figure P9.21 shows a jet of material (at the upper right) being ejected by galaxy M87 (at the lower left). Such jets are believed to be evidence of supermassive black holes at the center of a galaxy. Suppose two jets of material from the center of a galaxy are ejected in opposite directions. Both jets move at 0.750c relative to the galaxy center. Determine the speed of one jet relative to the other. Figure P9.21arrow_forwardThe Millennium Falcon is approximately 35.8 m long. There are conflicting reports, but the Falcon made the Kessel Run in approximately 12.86 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult or dangerous points to jump between to make the trip so short. Let's imagine that the Millennium Falcon travels at 0.97c during the 12.86 parsec Kessel Run. What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year. light-year What distance, in light-year, does Han Solo measure for the trip as he pilots the ship? light-year Which person measures the proper distance of the trip? Which person would measure the proper length of the Millennium Falcon? ✪arrow_forwardThe Millennium Falcon is approximately 35.2 m long. There are conflicting reports, but the Fàlcon made the Kessel Run in approximately 12.95 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult or dangerous points to jump between to make the trip so short.tet's imagine that the Millennium Falcon travels at 0.95c during the 12.95 parsec Kessel Run. What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year. light-year What distance, in light-year, does Han Solo measure for the trip as he pilots the ship? | light-yeararrow_forward
- Physicists and engineers from around the world came together to build the largest accelerator in the world, the Large Hadron Collider (LHC) at the CERN Laboratory in Geneva, Switzerland. The machine accelerates protons to high kinetic energies in an underground ring 27 km in circumference. (a) What is the speed v of a proton in the LHC if the proton’s kinetic energy is 7.0 TeV? (Because v is very close to c, write v = (1 - ∆)c and give your answer in terms of ∆.) (b) Find the relativistic mass, mrel, of the accelerated proton in terms of its rest massarrow_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_forwardA spaceship S blasts off from the Earth. After some time, Earth station informs the crew that they have settled into a constant velocity 0.28c radially outward from the Earth, but unfortunately they are on a head- on collision course with an asteroid A at a distance of 15 light-minutes coming in towards the Earth along the same radius (see figure below). Earth S น d A v Instruments on-board the spaceship immediately estimate the speed of the asteroid to have a constant value 0.24c. It follows that the maximum time (in minutes) available to the crew to evacuate the ship before the collision isarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning