COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 25, Problem 88QAP
To determine
The kinetic energy of the rocket using the Einsteinian formula and the ordinary Newtonian formula. What is the percent error if we use the Newtonian formula if a 1000-kg rocket is flying at 0.90c relative to your lab? Does the Newtonian formula overestimate or underestimate the kinetic energy?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A charge particle moves along a straight line in an uniform electric
field E with speed v.
• If the motion and the electric field are in the x direction by Considering
relativistic form of newton's second law show that the magnitude of the
acceleration of charge q
a =
dt
dv
qE
(1-
m
Discuss the significance of the dependence of the acceleration on the
speed.
If the particle starts from the rest x = 0 at t = 0 find the speed of the
particle and its position after a time t has elapsed.
• Comment of the limiting values of v and x as t –→∞
4 In projection television sets electrons are accelerated through a potential difference of 50kV.
• Calculate the speed of the electrons using the relativistic form of kinetic energy
assuming the electrons start from rest.
(Rest energy of electron is 0. 511MEV)
• Calculate the speed of the electrons using the classical form of kinetic energy.
o Determine the difference percentage and is this difference in speed significant in the
design of this TV set?
The free neutron is known to decay into a proton an electron and an antineutrino (of zero
3. • A futuristic spaceship flies past Pluto with a speed of 0.964c
relative to the surface of the planet. When the spaceship is
directly overhead at an altitude of 1500 km, a very bright sig-
nal light on the surface of Pluto blinks on and then off. An
observer on Pluto measures the signal light to be on for
80.0 us. What is the duration of the light pulse as measured by
the pilot of the spaceship?
Chapter 25 Solutions
COLLEGE PHYSICS
Ch. 25 - Prob. 1QAPCh. 25 - Prob. 2QAPCh. 25 - Prob. 3QAPCh. 25 - Prob. 4QAPCh. 25 - Prob. 5QAPCh. 25 - Prob. 6QAPCh. 25 - Prob. 7QAPCh. 25 - Prob. 8QAPCh. 25 - Prob. 9QAPCh. 25 - Prob. 10QAP
Ch. 25 - Prob. 11QAPCh. 25 - Prob. 12QAPCh. 25 - Prob. 13QAPCh. 25 - Prob. 14QAPCh. 25 - Prob. 15QAPCh. 25 - Prob. 16QAPCh. 25 - Prob. 17QAPCh. 25 - Prob. 18QAPCh. 25 - Prob. 19QAPCh. 25 - Prob. 20QAPCh. 25 - Prob. 21QAPCh. 25 - Prob. 22QAPCh. 25 - Prob. 23QAPCh. 25 - Prob. 24QAPCh. 25 - Prob. 25QAPCh. 25 - Prob. 26QAPCh. 25 - Prob. 27QAPCh. 25 - Prob. 28QAPCh. 25 - Prob. 29QAPCh. 25 - Prob. 30QAPCh. 25 - Prob. 31QAPCh. 25 - Prob. 32QAPCh. 25 - Prob. 33QAPCh. 25 - Prob. 34QAPCh. 25 - Prob. 35QAPCh. 25 - Prob. 36QAPCh. 25 - Prob. 37QAPCh. 25 - Prob. 38QAPCh. 25 - Prob. 39QAPCh. 25 - Prob. 40QAPCh. 25 - Prob. 41QAPCh. 25 - Prob. 42QAPCh. 25 - Prob. 43QAPCh. 25 - Prob. 44QAPCh. 25 - Prob. 45QAPCh. 25 - Prob. 46QAPCh. 25 - Prob. 47QAPCh. 25 - Prob. 48QAPCh. 25 - Prob. 49QAPCh. 25 - Prob. 50QAPCh. 25 - Prob. 51QAPCh. 25 - Prob. 52QAPCh. 25 - Prob. 53QAPCh. 25 - Prob. 54QAPCh. 25 - Prob. 55QAPCh. 25 - Prob. 56QAPCh. 25 - Prob. 57QAPCh. 25 - Prob. 58QAPCh. 25 - Prob. 59QAPCh. 25 - Prob. 60QAPCh. 25 - Prob. 61QAPCh. 25 - Prob. 62QAPCh. 25 - Prob. 63QAPCh. 25 - Prob. 64QAPCh. 25 - Prob. 65QAPCh. 25 - Prob. 66QAPCh. 25 - Prob. 67QAPCh. 25 - Prob. 68QAPCh. 25 - Prob. 69QAPCh. 25 - Prob. 70QAPCh. 25 - Prob. 71QAPCh. 25 - Prob. 72QAPCh. 25 - Prob. 73QAPCh. 25 - Prob. 74QAPCh. 25 - Prob. 75QAPCh. 25 - Prob. 76QAPCh. 25 - Prob. 77QAPCh. 25 - Prob. 78QAPCh. 25 - Prob. 79QAPCh. 25 - Prob. 80QAPCh. 25 - Prob. 81QAPCh. 25 - Prob. 82QAPCh. 25 - Prob. 83QAPCh. 25 - Prob. 84QAPCh. 25 - Prob. 85QAPCh. 25 - Prob. 86QAPCh. 25 - Prob. 87QAPCh. 25 - Prob. 88QAPCh. 25 - Prob. 89QAPCh. 25 - Prob. 90QAP
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
- An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years in the space-ships frame of reference. Assume the galaxy is 2.00 million light-years away and his speed is constant. (a) How fast must he travel relative to Earth? (b) What will be the kinetic energy of his spacecraft, which has mass of 1.00 106 kg? (c) What is the cost of this energy if it is purchased at a typical consumer price for electric energy, 13.0 cents per kWh? The following approximation will prove useful: 11+x1x2forx1arrow_forwardAn interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 70.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 15.0 years as measured in a rest frame. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (b) How far is the probe from Earth when its batteries fail as measured by mission control? (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? (d) For what total time after launch are data received from the probe by mission control? Note dial radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails.arrow_forwardOur solar system orbits the center of the Milky Way Galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note that this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.arrow_forward
- Construct Your Own Problem Consider an astronaut traveling to another star at a relativistic velocity. Construct a problem in which you calculate the time for the trip as observed on the Earth and as observed by the astronaut. Also calculate the amount of mass that must be converted to energy to get the astronaut and ship to the velocity travelled. Among the things to be considered are the distance to the star, the velocity, and the mass of the astronaut and ship. Unless your instructor directs you otherwise, do not include any energy given to other masses, such as rocket propellants.arrow_forwardTwo planets are on a collision course, heading directly towards each other at 0.250c. A spaceship sent from one planet approaches the second at 0.750c as seen by the second planet. What is the velocity of the ship relative to the first planet?arrow_forwardSpace debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed of a satellite in an orbit 900 km above Earth’s surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite’s orbit at an angle of 90 . What is the velocity of the rivet relative to the satellite just before striking it? (c) If its mass is 0.500 g, and it comes to rest inside the satellite, how much energy in joules is generated by the collision? (Assume the satellite’s velocity does not change appreciably, because it mass is much greater than the rivets’s.)arrow_forward
- An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 70.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 15.0 years as measured in a rest frame. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (b) How far is the probe from Earth when its batteries fail as measured by mission control? (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? (d) For what total time after launch are data received from the probe by mission control? Note dial radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails.arrow_forwardA rod of length L0 moves with a speed v along the horizontal direction. The rod makes an angle of θ0 with respect to the x′-axis. (a) Show that the length of the rod as measured by a stationary observer is given by . (b) Show that the angle that the rod makes with the x-axis is given by the expression tan θ = γ tan θ0. These results show that the rod is both contracted and rotated. (Take the lower end of the rod to be at the origin of the primed coordinate system.)arrow_forwardTwo spaceships, each 100 m long when measured at rest, travel towardeach other with speeds of 0.85c relative to Earth. • How long is each ship as measured by someone on Earth?• How fast is each ship traveling as measured by an observer on the other?• How long is one ship when measured by an observer on the other?• At time t0 on Earth, the fronts of the ships are together as they just begin to pass each other. At what time on Earth are their ends together?arrow_forward
- 6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper lifetime). • If the particle moves with speed 0.95c with respect to the Earth, what is its lifetime as measured by an observer at rest on Earth?. • What is the average distance it travels before decaying as measured by an observer at rest on Earth in cm? (ii) Let a rod of length Lo makes an angle 0 relative to the í -axis and let it moves with speed v = 0.8c along the horizontal direction. • Find the length of the rod as measured by a stationary observer for 0, = 30 and 60 • Find the angle 0 the rod makes with the x -axis in terms of 0o.arrow_forwardTwo spaceships, each 100 m long when measured at rest, travel toward each other with speeds of 0.85c relative to Earth.• How long is each ship as measured by someone on Earth?• How fast is each ship traveling as measured by an observer on the other?• How long is one ship when measured by an observer on the other?arrow_forward•34 The speeds of 22 particles are as follows (N, represents the number of particles that have speed v,): 2 4 6 4.0 v, (cm/s) 1.0 2.0 3.0 2 N, 5.0 What are (a) vavg. (b) Vrms, and (c) vp?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax