Problem 2. Relativity the 'pole in barn." (This is a famous paradox and you might find all sorts of variants of online. Read this version carefully and don't get confused with alternate scenarios.) A runner carries a 5-meter-long pole (as measured when the pole is at rest) and runs at an impres- sively high speed of v = c through a 4-meter-long barn (as measured when the barn is at rest). The barn doors are open at both ends, so the runner goes right through. (a) According to the farmer at rest with respect to the barn, will the runner and pole 'fit' inside the barn? Calculate the length-contracted length of the pole to answer the question. (b) According to the runner, will the pole 'fit' in the barn? Calculate the length-contracted length of the barn to answer the question. (c) Suppose the farmer attempts to close the pole inside the barn by closing both doors simul- taneously. Describe what the runner will observe (in terms of when the doors close, and in what order). (d) How long will the runner take to run the length of the barn, according to the farmer? How long will it take according to the runner? (Ignore the pole for this part.)

Problem 2. Relativity the 'pole in barn." (This is a famous paradox and you might find all sorts of variants of online. Read this version carefully and don't get confused with alternate scenarios.) A runner carries a 5-meter-long pole (as measured when the pole is at rest) and runs at an impres- sively high speed of v = c through a 4-meter-long barn (as measured when the barn is at rest). The barn doors are open at both ends, so the runner goes right through. (a) According to the farmer at rest with respect to the barn, will the runner and pole 'fit' inside the barn? Calculate the length-contracted length of the pole to answer the question. (b) According to the runner, will the pole 'fit' in the barn? Calculate the length-contracted length of the barn to answer the question. (c) Suppose the farmer attempts to close the pole inside the barn by closing both doors simul- taneously. Describe what the runner will observe (in terms of when the doors close, and in what order). (d) How long will the runner take to run the length of the barn, according to the farmer? How long will it take according to the runner? (Ignore the pole for this part.)

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter16: Cosmology

Section: Chapter Questions

Problem 11P

See similar textbooks

Related questions

Q: How long does it take the astronaut in attached Example to travel 4.30 ly at 0.99944c (as measured…

A: Light year is the distance that light travels in one year. One light year is equal to the distance 1…

Q: Gearing up for My Relativity Journey Directions: Read and analyze the given situations/questions…

A: We need to investigate the situations given in the question.

Q: devise a system for you and three friends, at rest with you, to synchronize your clocks if your…

A: Given:- 1) devise a system for you and three friends, at rest with you, to synchronize your clocks…

Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…

Q: 2. Describe the following: a. Time dilation b. Simultaneity of Time Interval (Can two events occur…

A: (a) Time dilation: In the special theory of relativity, the time is also considered as one of the…

Q: OWING: USE EXTRA PAPER FOR YOUR ANSWER EXERCISES LAnuclear power reactor generates 3.0 x 10 w of…

Q: Physics A wormhole is created, with one mouth stationary here on Earth, and the other mouth on…

Q: Write your findings about special relativity with examples, how you can understand space-time…

A: Special relativity: It is introduced by the Einstein in 1905. According to him, “the physics laws…

Q: Relativity 10 v.B What is the relativity factor y? Type your answer. 11 A newly-constructed space…

Q: Problem 2. Relativity-the 'pole in barn.' (This is a famous paradox and you might find all sorts of…

A: The speed,

Q: you and your friend pass each other in rockets that are each trvaeling0.23c relative to each other.…

Q: There is a cannon that can shoot cannonballs in opposite directions simultaneously with the same…

Q: Problem 2. Relativity the 'pole in barn.' (This is a famous paradox and you might find all sorts of…

A: The speed,

Q: Describe the relativity velocity in detail, Obtain an expression for the cases when two bodies are…

A: The time rate of change of the relative position of one body with respect to another, it is called…

Q: An astronaut in a spacecraft leaves Earth at a speed of 0.90c and travels 27 light-years away, both…

A: Speed of spacecraft (v) = 0.90 c Distance covered (L) = 27 ly

Q: You observe an electron (mass = 9 x10-25 kg) and a muon (mass = 2 x 10-20) flying towards eahc…

Q: Write down Lorenzt transformation equations of special theory of relativity. Can a person, in…

Q: Solve ASAP!!! Questions: 1) Relativistic Kinetic Energy vs. Rest Energy. 2)…

Q: What is invariant (or rest) mass? Is my definition correct? The rest mass is the mass of a particle…

A: The invariant mass is also known as the rest mass, proper mass, or intrinsic mass.

Q: Answer the following. Albert Einstein’s significant contribution in understanding the universe was…

A: solution as

Q: You fly your 12.0 m-long spaceship at a speed of c/ 2 relative to your friend. Your velocity is…

A: l0= 12 m v= 0.5 c the length of the ship as seen by your friend would be contracted according to…

Q: What do you understand by ‘time Dilation’ On the basis of Lorentz Transformations, discuss the…

A: The length of any object in a moving frame will appear foreshortened in the direction of motion, or…

Q: Which of these would be a good frame of reference for describing motion using Newton's methods? Pick…

A: Inertial frame of references are that which are not accelerating i.e. moving with constant velocity…

Q: Explain the fact the special theory of relativity defines the limits for the validity of Newtonian…

A: Special relativity applies to particles moving at speed comparable to the speed of light. However,…

Q: Relativity Factor Equation: Can you show the algebraic steps to isolate only the speed (v)? Thank…

A: In the relativity factor equation, v can be isolated by using the following steps.

Q: Length contraction, time dilation, and Lorentz velocity transforms; why don't any of these effects…

A: According to special theory of relativity, The laws of physics take the same form in all inertial…

Q: Solve using GUESS method. Relativity 1. An astronaut traveling at a speed of 0.75c requires 25…

A: Given: Astronaut traveling at a speed of 0.75c = v Time ∆to = 25 yrs To determine: How many years…

Q: Can you answer question 2 in this image?

A: Given: Proper length (rest length) of pole = 5 m Proper length (rest length) of barn = 4 m Speed of…

Q: 1) Relativistic Kinetic Energy vs. Rest Energy. 2) What is the Relativistic Momentum? 3) What is…

A: Rest mass is m0=1016kg…

Q: 3.9 One observer is at rest and measures an event occurring at (1.0, - 3.0, 0) km and t= 4.0 us.…

Q: Problem 2. Relativity-the 'pole in barn.' (This is a famous paradox and you might find all sorts of…

A: The speed,

Q: The construction of Restricted Relativity leads to a generalization of the concept of energy and…

A: Relativistic Kinetic Energy 'K' is given by the relation, K=mc2γ-1…

Q: Problem 2. Relativity the 'pole in barn.' (This is a famous paradox and you might find all sorts of…

A: Given: Length of the pole ( proper or rest length ) = 5 m Velocity 'v' = 4 c / 5 Length of the barn…

Q: 6. One of the potentially confusing things about special relativity is that it shows us that the…

A: Given:- two events that appear to be simultaneous in one inertial frame may be measured to occur at…

Q: You and your archenemy pass each other in rockets that are each traveling 0.2c relative to the…

Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

100%

Would love it if someone couls help me out on this

Thank you in advance!

Problem 2. Relativity the 'pole in barn."
(This is a famous paradox and you might find all sorts of variants of online. Read this version
carefully and don't get confused with alternate scenarios.)
A runner carries a 5-meter-long pole (as measured when the pole is at rest) and runs at an impres-
sively high speed of v = c through a 4-meter-long barn (as measured when the barn is at rest).
The barn doors are open at both ends, so the runner goes right through.
(a) According to the farmer at rest with respect to the barn, will the runner and pole 'fit' inside
the barn? Calculate the length-contracted length of the pole to answer the question.
(b) According to the runner, will the pole 'fit' in the barn? Calculate the length-contracted length
of the barn to answer the question.
(c) Suppose the farmer attempts to close the pole inside the barn by closing both doors simul-
taneously. Describe what the runner will observe (in terms of when the doors close, and in
what order).
(d) How long will the runner take to run the length of the barn, according to the farmer? How
long will it take according to the runner? (Ignore the pole for this part.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

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

To whom does the elapsed time for a process seem to be longer, an observer moving relative to the process or an observer moving with the process? Which observer measures proper time?
Particles called -mesons are produced by accelerator beams. If these particles travel at 2.70108 m/s and live 2.60108 s when at rest relative to an observer, how long do they live as viewed in the laboratory?
Which of Einstein's postulates of special relativity includes a concept that does not fit with the ideas of classical physics? Explain.
(a) Wliat is the approximate velocity relative to us of a galaxy near the edge of the known universe, some 10 Gly away? (b) What fraction of the speed of light is this? Note that we have observed galaxies moving away from us at greater than 0.9c.
To does an object seem greater in length, an observer moving with the object or an observer moving relative to the object? Which observer measures the objects proper length?
Check Your Understanding Explain how special relativity differs from general relativity.
Which of Einstein’s postulates of special relativity includes a concept that does not ?t with the ideas of classical physics? Explain.
A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives 1.401016 s as measured in the laboratory, and 0.8401016 s when at rest relative to an observer, what is its velocity relative to the laboratory?
If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts clocks? (b) What is the distance to Alpha Centauri as measured by the astronauts?
A pulsar is a stellar object that emits light in short bursts. Suppose a pulsar with a speed of 0.950c approaches Earth, and a rocket with a speed of 0.995c heads toward the pulsar. (Both speeds are measured in Earth's frame of reference.) If the pulsar emits 10.0 pulses per second in its own frame of reference, at what rate are the pulses emitted in the rockets frame of reference?
We know that the velocity of an object with mass has an upper limit of c. Is there an upper limit on its momentum? Its energy? Explain.
Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by you at 0.980c, and it lives when at rest relative to an observer. How long does it live as you observe it?