
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 110E
To determine
To Prove: The momentum-energy four vector equation relate momentum and total energy in two frames is sensible under nonrelativistic limit.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find the current in 5.00 and 7.00 Ω resistors. Please explain all reasoning
Find the amplitude, wavelength, period, and the speed of the wave.
A long solenoid of length 6.70 × 10-2 m and cross-sectional area 5.0 × 10-5 m² contains
6500 turns per meter of length. Determine the emf induced in the solenoid when the
current in the solenoid changes from 0 to 1.5 A during the time interval from 0 to 0.20 s.
Number
Units
Chapter 2 Solutions
Modern Physics
Ch. 2 - Explain to your friend, who is willing to accept...Ch. 2 - A friend says, “It makes no sense that Anna could...Ch. 2 - The Lorentz transformation equations have x and t...Ch. 2 - You are gliding over Earth’s surface at a high...Ch. 2 - A thin plate has a round hole whose diameter in...Ch. 2 - In the twin paradox situation, a fellow student...Ch. 2 - Does the asymmetric aging of an Earthbound...Ch. 2 - You are floating in space when you notice a flying...Ch. 2 - Prob. 9CQCh. 2 - A relativity enthusiast says, “If E=mc2 and energy...
Ch. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Two objects isolated from the rest of the universe...Ch. 2 - Particles of light have no mass. Does the Sun’s...Ch. 2 - Prob. 15CQCh. 2 - In a television picture tube, a beam of electrons...Ch. 2 - Prob. 17ECh. 2 - Verify that the special case x=vt,x=0 leads to...Ch. 2 - If an object actually occupies less space...Ch. 2 - Through a window in Carl’s spaceship, passing at...Ch. 2 - According to an observer on Earth, a spacecraft...Ch. 2 - According to Bob on Earth, Planet Y (uninhabited)...Ch. 2 - Anna is on a railroad flatcar moving at 0.6c...Ch. 2 - A polevaulter holds a 16 ft. pole. A barn has...Ch. 2 - Anna and Bob are in identical spaceships, each 100...Ch. 2 - Bob is watching Anna fly by in her new highspeed...Ch. 2 - Rob and Bob Jr. stand at open doorways at opposite...Ch. 2 - The diagram shows Bob’s view of the passing of two...Ch. 2 - Refer to Figure 2.18. (a) How long is a spaceship?...Ch. 2 - You are in a bus traveling on a straight road at...Ch. 2 - A spaceship travels at 0.8c. As this spaceship...Ch. 2 - You are on a highspeed train, traveling at a...Ch. 2 - A famous experiment detected 527 muons per hour at...Ch. 2 - In the frame in which they are at rest, the number...Ch. 2 - A supersonic plane travels at 420 m/s. As this...Ch. 2 - Prob. 36ECh. 2 - According to Bob, on Earth, it is 20 ly to Planet...Ch. 2 - A plank, fixed to a sled at rest in frame S, is of...Ch. 2 - Bob in frame S, is observing the moving plank of...Ch. 2 - An experimenter determines that a particle created...Ch. 2 - A muon has a mean lifetime of 2.2s in its rest...Ch. 2 - A pion is an elementary particle that, on averages...Ch. 2 - Anna and Bob have identical spaceships 60 m long....Ch. 2 - Demonstrate that equations (212) and (213) become...Ch. 2 - Planet W is 12 ly from Earth. Anna and Bob are...Ch. 2 - Anna and Bob are both born just as Anna’s...Ch. 2 - Consider Anna, Bob, and Carl in the twin paradox....Ch. 2 - You stand at the center of your 100 m spaceship...Ch. 2 - From a standstill, you begin jogging at 5 m/s...Ch. 2 - A meterstick is glued to the wall with its 100 cm...Ch. 2 - Prob. 51ECh. 2 - By what factor would a star’s characteristic...Ch. 2 - At rest, a light source emits 532 nm light. (a) As...Ch. 2 - The light from galaxy NGC 221 consists of a...Ch. 2 - A space probe has a powerful light beacon that...Ch. 2 - Prob. 56ECh. 2 - Prob. 57ECh. 2 - To catch speeders, a police radar gun detects the...Ch. 2 - Bob is on Earth. Anna is on a spacecraft moving...Ch. 2 - According to Anna, on Earth, Bob is on a spaceship...Ch. 2 - Prove that if v and u are less than c, it is...Ch. 2 - In a particle collider experiment, particle 1 is...Ch. 2 - A light beam moves in the xyplane and has an...Ch. 2 - A light beam moves at an angle ? with the xaxis as...Ch. 2 - You tire a light signal at 60° north of west. (a)...Ch. 2 - At t=0 , a bright beacon at the origin flashes,...Ch. 2 - Prob. 67ECh. 2 - By applying the relativistic velocity...Ch. 2 - Prob. 69ECh. 2 - What are the momentum, energy, and kinetic energy...Ch. 2 - What would be the internal energy, kinetic energy,...Ch. 2 - By how much (in picograms) does the mass of 1 mol...Ch. 2 - Prob. 73ECh. 2 - A typical household uses 500 kWh of energy in 1...Ch. 2 - Prob. 75ECh. 2 - Prob. 76ECh. 2 - Prob. 77ECh. 2 - Show that the relativistic expression for kinetic...Ch. 2 - At Earth’s location, the intensity of sunlight is...Ch. 2 - Prob. 80ECh. 2 - Prob. 81ECh. 2 - Prob. 82ECh. 2 - How fast must an object be moving for its kinetic...Ch. 2 - How much work must be done to accelerate an...Ch. 2 - An electron accelerated from rest through a...Ch. 2 - What is the momentum of a proton accelerated...Ch. 2 - A proton is accelerated from through a potential...Ch. 2 - xzA particle of mass m0 moves the lab at 0.6c....Ch. 2 - 89. The boron14 nucleus (mass: 14.02266 u) “beta...Ch. 2 - A 3.000 u object moving to the right through a...Ch. 2 - A 10 kg object is moving to the right at 0.6c. It...Ch. 2 - Particle 1, of mass m1 , moving at 0.8c relative...Ch. 2 - Consider the collisions of two identical...Ch. 2 - A kaon (denoted K0 ) ¡s an unstable particle mass...Ch. 2 - In the frame of reference shown, a stationary...Ch. 2 - Prob. 96ECh. 2 - Show that E2=p2c2+m2c4 follows from expressions...Ch. 2 - Equation (2-30) is an approximation correct only...Ch. 2 - According to an observer at Earth’s equator, by...Ch. 2 - If it is fundamental to nature that a given mass...Ch. 2 - Prob. 101ECh. 2 - Suppose particles begin moving in one dimension...Ch. 2 - Prob. 103ECh. 2 - From the Lorentz transformation equations, show...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - For the situation given in Exercise 22, find the...Ch. 2 - Show that equation (236) follows from the...Ch. 2 - A 1 kg object moves at 0.8crelative to Earth. (a)...Ch. 2 - From p=umu (i.e., px=umux , py=umuy , and pz=umuz...Ch. 2 - Prob. 110ECh. 2 - An object of mass 3m0 moves to the right at...Ch. 2 - Prob. 112ECh. 2 - Derive the following expressions for the...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - A point charge +q rests halfway between two steady...Ch. 2 - Prob. 116CECh. 2 - Prob. 117CECh. 2 - A rocket maintains a constant thrust F, giving it...Ch. 2 - Exercise 117 gives the speed u of an object...Ch. 2 - In Example 2.5, we noted that Anna could go...
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
- A coat hanger of mass m = 0.255 kg oscillates on a peg as a physical pendulum as shown in the figure below. The distance from the pivot to the center of mass of the coat hanger is d = 18.0 cm and the period of the motion is T = 1.37 s. Find the moment of inertia of the coat hanger about the pivot.arrow_forwardReview Conceptual Example 3 and the drawing as an aid in solving this problem. A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 3.9 m/s perpendicular to a 0.49-T magnetic field. The resistance of th rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and has a length of 1.4 m. A 1.1-Q resistor is attached between the tops of the tracks. (a) What is the mass of the rod? (b) Find the change in the gravitational potentia energy that occurs in a time of 0.26 s. (c) Find the electrical energy dissipated in the resistor in 0.26 s.arrow_forwardA camera lens used for taking close-up photographs has a focal length of 21.5 mm. The farthest it can be placed from the film is 34.0 mm. (a) What is the closest object (in mm) that can be photographed? 58.5 mm (b) What is the magnification of this closest object? 0.581 × ×arrow_forward
- Given two particles with Q = 4.40-µC charges as shown in the figure below and a particle with charge q = 1.40 ✕ 10−18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = ∞.) Three positively charged particles lie along the x-axis of the x y coordinate plane.Charge q is at the origin.Charge Q is at (0.800 m, 0).Another charge Q is at (−0.800 m, 0).(a)What is the net force (in N) exerted by the two 4.40-µC charges on the charge q? (Enter the magnitude.) N(b)What is the electric field (in N/C) at the origin due to the two 4.40-µC particles? (Enter the magnitude.) N/C(c)What is the electrical potential (in kV) at the origin due to the two 4.40-µC particles? kV(d)What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 4.40-µC particles?arrow_forward(a) Where does an object need to be placed relative to a microscope in cm from the objective lens for its 0.500 cm focal length objective to produce a magnification of -25? (Give your answer to at least three decimal places.) 0.42 × cm (b) Where should the 5.00 cm focal length eyepiece be placed in cm behind the objective lens to produce a further fourfold (4.00) magnification? 15 × cmarrow_forwardIn a LASIK vision correction, the power of a patient's eye is increased by 3.10 D. Assuming this produces normal close vision, what was the patient's near point in m before the procedure? (The power for normal close vision is 54.0 D, and the lens-to-retina distance is 2.00 cm.) 0.98 x marrow_forward
- Don't use ai to answer I will report you answerarrow_forwardA shopper standing 2.00 m from a convex security mirror sees his image with a magnification of 0.200. (Explicitly show on paper how you follow the steps in the Problem-Solving Strategy for mirrors found on page 1020. Your instructor may ask you to turn in this work.) (a) Where is his image (in m)? (Use the correct sign.) -0.4 m in front of the mirror ▾ (b) What is the focal length (in m) of the mirror? -0.5 m (c) What is its radius of curvature (in m)? -1.0 marrow_forwardAn amoeba is 0.309 cm away from the 0.304 cm focal length objective lens of a microscope.arrow_forward
- Two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0. When the resistors are connected in series, the current is Is. When the resistors are connected in parallel, the current Ip from the source is equal to 10Is. Let r be the ratio R1/R2. Find r. I know you have to find the equations for V for both situations and relate them, I'm just struggling to do so. Please explain all steps, thank you.arrow_forwardBheem and Ram, jump off either side of a bridge while holding opposite ends of a rope and swing back and forth under the bridge to save a child while avoiding a fire. Looking at the swing of just Bheem, we can approximate him as a simple pendulum with a period of motion of 5.59 s. How long is the pendulum ? When Bheem swings, he goes a full distance, from side to side, of 10.2 m. What is his maximum velocity? What is his maximum acceleration?arrow_forwardThe position of a 0.300 kg object attached to a spring is described by x=0.271 m ⋅ cos(0.512π⋅rad/s ⋅t) (Assume t is in seconds.) Find the amplitude of the motion. Find the spring constant. Find the position of the object at t = 0.324 s. Find the object's velocity at t = 0.324 s.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningAstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStax
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning

University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax

Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning

Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
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
