A meter stick moves past you, with its motion relative to you parallel to its long axis. If you measure its length while in motion, you get 1.00 ft. At what speed is the meter stick moving relative to you?

A meter stick moves past you, with its motion relative to you parallel to its long axis. If you measure its length while in motion, you get 1.00 ft. At what speed is the meter stick moving relative to you?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 79PQ

See similar textbooks

Related questions

Q: You encounter a moving walkway that is 75 mm long and has a speed of 1.9 m/sm/s relative to the…

A: Given value--- speed of walkway = 1.9 m/s. distance = 75 m. We have to find --- How long would it…

Q: Suppose that Penny's spaceship zooms past Jane at a speed of 2.236 x 108 m/s. What does Jane observe…

Q: A muon is zipping through your lab, moving at 2.08x108 m/s. In its frame, it has a lifetime of 29…

A: Given that:v=2.08×108 m/sTo=20 μs (proper time)

Q: A rocket cruising past earth at 0.800c shoots a bullet out the back door, opposite the rocket’s…

A: The velocity of the rocket, v=0.8 c The velocity of the bullet, u=-0.9 c

Q: A boat takes 3.00 hourshours to travel 50.0 kmkm down a river, then 6.10 hourshours to return. How…

Q: a clock on a space rocket ticks off at a time interval of 1hour. what is the time elapse on earth…

A: Time dilation ∆t' = ∆t1-v2c2 where v is the velocity

Q: what is the length of a meterstick measured by an observer travelling at i). 1700km/hr and ii).…

A: Length contraction Length contraction is the decrease in the measured length of an…

Q: Starship "Alpha" is traveling at 0.8c (γ = 5/3) with respect to the identical starship "Beta." Each…

A: Given: Starship "Alpha" is travelling at 0.8c (γ = 5/3) with respect to the identical starship…

Q: An astronaut uses his spaceship to maneuver across space at a speed of 0.90c relative to the earth.…

Q: please help: When parked, your car is 6.4 m long. Unfortunately, your garage is only 3.7 m long.…

Q: The sidewalk is 50.0 m long and is moving at 1.25m/s. How long will it take a passenger walking at…

A: Given data: Length of sidewalk is, d=50.0 m. Speed during side walk is, v1=1.25 m/s. Speed of…

Q: How fast would a 6.0 m-long sports car have to be going past you in order for it to appear only 5.5…

A: Given data The actual length is, Lo=6.0 m The appeared length is L=5.5 m The appeared length by…

Q: A boat takes 2.6 hours to travel 50 km down a river, then 6.7 hours to return. How fast is the river…

A: Time to travel down the river = 2.6 hr Time to return up the river =6.7 hr River length = 50 km Let…

Q: As I speed by in my very fast train (v = 0.757c), I jump up. In my frame, it takes me 0.71s to go up…

A: Write the formula for time dilation.

Q: You are standing at x = 9.0 km. Lightning bolt 1 strikes at x = 0 km and lightning bolt 2 strikes at…

A: Given data: Your position, x=9.0 km=9×103m Bolt-1 strikes at x=0 km=0 m Bolt-2 strikes at x=12.0…

Q: A spaceship in distress sends out two escape pods inopposite directions. One travels at a speed…

A: It is given that, v1=0.7cv2=-0.8c

Q: A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long.…

A: Given data The speed of the rocket is, v=0.77c The observed length of the rocket observed on the…

Q: The Stanford Linear Accelerator (SLAC) accelerates electrons to ν = 0.99999997c in a 3.2-km-long…

A: Given: The speed of electron is 0.99999997c. The length of tube is 3.2 km.

Q: A man standing still at a train station watches two boys throwing a baseball in a moving train. The…

Q: The great astronomer Edwin Hubble discovered that all distant galaxies are receding from our Milky…

Q: If a flashing light source moves toward you fast enough so that the duration between flashes is half…

A: It is given that a flashing light source is moving towards us such that the duration between the…

Q: A UFO Strikes across the sky at a speed of 0.90c relative to the earth. A person determines the…

A: Given data: Speed of UFO relative to earth is, v=0.90c. Length of UFO determined during the motion…

Q: Bianca is standing at x = 600 m. Firecracker 1, at the origin, and firecracker 2, at x = 900 m,…

Q: 1. A rocket flies toward the earth at c, and the captain shines a laser light beam in the forward…

A: A rocket flies toward the earth at le, and the captain shines a laser light beam in the forward…

Q: What is the speed of a particle whose momentum is mc?

A: We know that, relativistic momentum is, p=γmv It is given that, the particle's relativistic…

Q: A boat takes 3.0 hours to travel 30 km down a river, then 5.0 hours to return. How fast is the river…

A: vboat+vriver=dtdownvboat+vriver=30 km3.0 hvboat+vriver=10 km/h......................(I)

Q: A rocket is travelling from earth through space at a speed of 2.7x10^8m/s. The pilot measures the…

Q: A 135m long steel beam is moving past the Earth actually measures the steel beam to be only 57m…

A: Given a 135m long steel beam is moving past the Earth actually measures the steel beam to be only…

Q: Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving…

A: Given: Automobiles are separated by a distance d=150 km Speed of first automobile v1 = 60 km/h Speed…

Q: A soccer team trains in the soccer stadium in preparation for their upcoming competition. One of the…

Q: The cosmic rays of highest energy are protons that have kinetic energy on the order of 1013 MeV. (a)…

A: We find gamma as,

Q: Superman uses his flashlight as he flies over Earth. He turns it on and off every 1.5 s. A person on…

A: Given: The prpoer time is 1.5 s. The observed time on the earth is 2.5 s.

Q: A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long.…

A: The expression for the required length measured by the passenger on the rocket is,

Q: A spaceship passes a space-dock at speed 0.5 c. (A) Its length as measured by the space-dock…

Q: pion is an unstable sub-atomic particle commonly produced in high-energy physics experiments. How…

Q: A spaceship moving away from the earth with a speed of 0.90c fires a missile inthe same direction as…

Q: If you consider a blinking light source that is receding an observer, what happens to its speed? A.…

A: Let a blinking source of light is receding away from an observer at a relative speed "v" with…

Q: How fast must a meterstick be moving if its length is measured to shrink to 0.443 m? Xc What is the…

Q: how far can light travel in 90 minutes?

A: Given data: The light’s speed is: c = 300000 km/s The time is: t = 90 minutes The distance travelled…

Question

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 Given:

VIEW

Step 2 Relative velocity of stick

VIEW

Step 3 Final answer

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Explain why, when defining the length of a rod, it is necessary to specify that the positions of the ends of the rod are to be measured simultaneously.
An atomic clock is placed in a jet airplane. The clock measures a time interval of 3600 s when the jet moves with a speed of 400 m/s. How much longer or shorter a time interval does an identical clock held by an observer on the ground measure? (Hint: For , γ ≈ 1 + v2/2c2.)
A spaceship, 200 m long as. seen on board, moves by the Earth at 0.970c. What is its length as measured by an earthbound observer?
What is the momentum of an electron travelling at 0.98c?
The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 μs. Suppose the muons move at a speed of 0.95c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?
Suppose an astronaut is moving relative to the Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his clocks to have slowed? (b) What change in the rate of Earth-bound clocks does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between stars that lie on lines parallel to his motion? (e) Do he and an Earth-bound observer agree on his velocity relative to the Earth?
Joe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.
(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.
Suppose an astronaut is moving relative to Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his to have slowed? (b) What change in the rate of earthbound does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between two stars that lie in the direction of his motion? (e) Do he and an earthbound observer agree on his velocity relative to Earth?
An observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at x1 = y1 = z1 = t1 = 0 and the second at x2 = 100 m, y2 = z2 = t2 = 0. (a) What are the coordinates of these two events in a frame S moving in the standard configuration at 0.70c relative to S? (b) How far apart are the events in S? (c) Are the events simultaneous in S? If not, what is the difference in time between the events, and which event occurs first?
(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.
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?