A Read aloud | DrawHighlight vclock be compared with the Earth-based clock?12. A moving rod is observed to have a length of l = 2.00 m and to be oriented at an angleof 0 = 30.0° with respect to the direction of motion as shown in the figure. The rod has aspeed of 0.995c. (a) What is the proper length of the rod? (b) What is the orientation anglein the proper frame?Direction of motion13. The total energy of a proton is twice its rest energy. Find the momentum of the proton inMeV/c units.14. The rest energy of an electron is 0.511 MeV. The rest energy of a proton is 938 MeV.Assume both particles have kinetic energies of 2.00 MeV. Find the speed of (a) the electronand (b) the proton. (c) By what factor does the speed of the electron exceed that of theproton? (d) Repeat the calculations in parts (a) through (c) assuming both particles havekinetic energies of 2000 MeV.15. What is the longest-wavelength EM radiation that can eject a photoelectron from silver,given that the binding energy is 4.73 eV? Is this in the visible range?16. What is the maximum kinetic energy in eV of electrons ejected from sodium metal by 450-nm EM radiation, given that the binding energy is 2.28 eV?17. Photoelectrons from a material with a work function of 2,71 eV are ejected by 420-nmnhotens Once ciected hou long does it talke these elestroneto trvel 2 50.cmtea detestiono searchDIGPause Br0%&4.8DG

Answered: Image /qna-images/answer/ffdd646c-580d-4ac2-a699-bae5a1077094.jpg

12. A moving rod is observed to have a length ofl = 2.00 m and to be oriented at an angle of 6 = 30.0° with respect to the direction of motion as shown in the figure. The rod has a speed of 0.995c. (a) What is the proper length of the rod? (b) What is the orientation angle in the proper frame? %3D %3D Direction of motion

12. A moving rod is observed to have a length ofl = 2.00 m and to be oriented at an angle of 6 = 30.0° with respect to the direction of motion as shown in the figure. The rod has a speed of 0.995c. (a) What is the proper length of the rod? (b) What is the orientation angle in the proper frame? %3D %3D Direction of motion

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 5.3CYU: Check Your Understanding a. A particle travels at 1.90108m/sand lives 2.10108swhen at rest relative...

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Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

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A Read aloud | Draw
Highlight v
clock be compared with the Earth-based clock?
12. A moving rod is observed to have a length of l = 2.00 m and to be oriented at an angle
of 0 = 30.0° with respect to the direction of motion as shown in the figure. The rod has a
speed of 0.995c. (a) What is the proper length of the rod? (b) What is the orientation angle
in the proper frame?
Direction of motion
13. The total energy of a proton is twice its rest energy. Find the momentum of the proton in
MeV/c units.
14. The rest energy of an electron is 0.511 MeV. The rest energy of a proton is 938 MeV.
Assume both particles have kinetic energies of 2.00 MeV. Find the speed of (a) the electron
and (b) the proton. (c) By what factor does the speed of the electron exceed that of the
proton? (d) Repeat the calculations in parts (a) through (c) assuming both particles have
kinetic energies of 2000 MeV.
15. What is the longest-wavelength EM radiation that can eject a photoelectron from silver,
given that the binding energy is 4.73 eV? Is this in the visible range?
16. What is the maximum kinetic energy in eV of electrons ejected from sodium metal by 450-
nm EM radiation, given that the binding energy is 2.28 eV?
17. Photoelectrons from a material with a work function of 2,71 eV are ejected by 420-nm
nhotens Once ciected hou long does it talke these elestroneto trvel 2 50.cmtea detestion
o search
DIG
Pause Br
0%
&
4.
8
D
G

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(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0109ly 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.)
(a) How long would the muon in Example 28.1 have lived as observed on the Earth if its velocity was 0.0500c ? (b) How far would it have traveled as observed on the Earth? (c) What distance is this in the muon's frame?
Check Your Understanding a. A particle travels at 1.90108m/sand lives 2.10108swhen at rest relative to an observer. How long does the particle live as viewed in the laboratory? b. Space craft A and B pass in opposite directions at a relative speed of 4.00107m/s . An internal clock in space craft A causes it to emit a radio signal for 1.00 s. The computer in spacecraft B corrects for the beginning and end of the signal having traveled different distances, to calculate the time interval during which ship A was emitting the signal. What is the time interval that the computer in spacecraft B calculates?
Check Your Understanding What is the kinetic energy of an electron if its speed is 0.992c?
Two 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?
An observer in reference frame S sees two events as simultaneous. Event A occurs at the point (50.0 m, 0, 0) at the instant 9:00:00 Universal time, 15 January 2001. Event B occurs at the point (150 m, 0, 0) at the same moment. A second observer, moving past with a velocity of , also observes the two events. In her reference frame S′, which event occurred first and what time elapsed between the events?
(a) How fast would an athlete need to be running for a 100-m race to look 100 yd long? (b) Is the answer consistent with the fact that relativistic effects are difficult to observe in ordinary circumstances? Explain.
(a) How long would the mum] in Example 5.3 have lived as observed on Earth if its velocity was. 0.0500c? (b) How far would it have traveled as observed on Earth? (c) What distance is this in the muon’s frame?
Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45
Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45
A spaceship, 200 m long as seen on board, moves by the Earth at 0.970c. What is its length as measured by an Earth-bound observer?
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