BuyFind

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300
BuyFind

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

Solutions

Chapter
Section
Chapter 26, Problem 1CQ
Textbook Problem

Choose the option from each pair that makes the following statement correct. According to an observer at rest, moving clocks run more [(a) slowly; (b) quickly] than stationary clocks and moving rods are [ (c) longer; (d) shorter] than stationary rods.

Expert Solution
To determine
The time measured by moving clocks versus the time measured by the stationary clock.

Answer to Problem 1CQ

According to an observer at rest, moving clocks run more (b) quickly than the stationary clocks.

According to an observer at rest, moving rods are (d) shorter than stationary rods.

Explanation of Solution

Time dilation: According to the theory of relativity, time dilation is a difference in the elapsed time measured by two observers, either due to a velocity difference relative to each other or by being differently situated relative to a gravitational field.

Length contraction: Length contraction is the phenomenon that a moving object’s length is measured to be shorter than its proper length, which is the length which is the length as measured in the object’s own rest frame.

Conclusion:

The time measured by the observer at the rest frame with the stationary clocks is the proper time. The proper time measured by the stationary clocks will be slower than the time measure in the moving clocks. Thus, the choice (b) is correct.

The time measured by the moving clocks will be shorter than the time measured by the stationary clocks according to the time dilation. Thus, the choice (a) is incorrect.

The length of the rod measured when it is at rest is its proper length. When the rod is moving with a speed near to the speed of light, the length will appear shorter according to the length contraction. Thus, the choice (d) is correct.

The length of a stationary rod measures according to the rest frame is longer compared to the moving rod with respect to the rest frame.  Thus, the choice (c) is incorrect

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Chapter 26 Solutions

College Physics
Ch. 26 - Choose the option from each pair that makes the...Ch. 26 - A spacecraft with the shape of a sphere of...Ch. 26 - What two speed measurements will two observers in...Ch. 26 - The speed of light in water is 2.30 108 m/s....Ch. 26 - With regard to reference frames, how does general...Ch. 26 - Give a physical argument that shows it is...Ch. 26 - It is said that Einstein, in his teenage years,...Ch. 26 - List some ways our day-to-day lives would change...Ch. 26 - Two identically constructed clocks are...Ch. 26 - Photons of light have zero mass. How is it...Ch. 26 - Imagine an astronaut on a trip to Sirius, which...Ch. 26 - Explain why, when defining the length of a rod, it...Ch. 26 - Suppose a photon, proton, and electron all have...Ch. 26 - The control panel on a spaceship contains a light...Ch. 26 - A spaceship moves past Earth with a speed of...Ch. 26 - If astronauts could travel at v = 0.950c, we on...Ch. 26 - a meterstick moving at 0.900c relative to the...Ch. 26 - The length of a moving spaceship is 28.0 m...Ch. 26 - An astronaut at rest on Earth has a heart rate of...Ch. 26 - The average lifetime of a pi meson in its own...Ch. 26 - An astronaut is traveling in a space vehicle that...Ch. 26 - A muon formed high in Earth's atmosphere travels...Ch. 26 - A star is 15.0 light-years (ly) from Earth. (a) At...Ch. 26 - The proper length of one spaceship is three times...Ch. 26 - A car traveling at 35.0 m/s takes 26.0 minutes to...Ch. 26 - A supertrain of proper length 1.00 102 m travels...Ch. 26 - A box is cubical with sides of proper lengths L1 =...Ch. 26 - (a) What is the momentum of a proton moving at...Ch. 26 - At what speed do the classical and relativistic...Ch. 26 - An electron has a momentum with magnitude three...Ch. 26 - Calculate the classical momentum of a proton...Ch. 26 - An unstable particle at rest breaks up into two...Ch. 26 - Spaceship R is moving to the right at a speed of...Ch. 26 - An electron moves to the right with a speed of...Ch. 26 - A spaceship travels at 0.750c relative to Earth....Ch. 26 - A spaceship is moving away from Earth at 0.900c...Ch. 26 - Two identical spaceships with proper lengths of...Ch. 26 - Spaceship A moves away from Earth at a speed of...Ch. 26 - A pulsar is a stellar object that emits light in...Ch. 26 - A rocket moves with a velocity of 0.92c to the...Ch. 26 - A proton moves with a speed of 0.950c. Calculate...Ch. 26 - Protons in an accelerator at the Fermi National...Ch. 26 - A proton in a large accelerator has a kinetic...Ch. 26 - What speed must a particle attain before its...Ch. 26 - Determine the energy required to accelerate an...Ch. 26 - A chain of nuclear reactions in the Suns core...Ch. 26 - An unstable particle with a mass equal to 3.34 ...Ch. 26 - Starting with the definitions of relativistic...Ch. 26 - Consider the reaction...Ch. 26 - Consider electrons accelerated to a total energy...Ch. 26 - An electron has a speed of 0.750c. (a) Find the...Ch. 26 - The rest energy of an electron is 0.511 MeV. The...Ch. 26 - A spring of force constant k is compressed by a...Ch. 26 - A star is 5.00 ly from the Earth. At what speed...Ch. 26 - An electron has a total energy equal to five times...Ch. 26 - An astronaut wishes to visit the Andromeda galaxy,...Ch. 26 - An alarm clock is set to sound in 10.0 h. At t =...Ch. 26 - Owen and Dina are at rest in frame S, which is...Ch. 26 - An observer in a coasting spacecraft moves toward...Ch. 26 - A spaceship of proper length 300. m takes 0.75 s...Ch. 26 - The cosmic rays of highest energy are protons that...Ch. 26 - The nonrelativistic expression for the momentum of...Ch. 26 - (a) Show that a potential difference of 1.02 106...Ch. 26 - The muon is an unstable particle that...Ch. 26 - Imagine that the entire Sun collapses to a sphere...Ch. 26 - The identical twins Speedo and Goslo join a...Ch. 26 - An interstellar space probe is launched from...Ch. 26 - An observer moving at a speed of 0.995c relative...Ch. 26 - An alien spaceship traveling 0.600c toward Earth...

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