Suppose that construction crews have set up a pair of blinking lights 60 m apart to mark a construction zone along a road. A car moves along the road with a speed of 30m/s toward the lights. Let us take the road to be the Home Frame and the car to be the Other Frame. In the Home Frame, the light farther from the car (light 2) blinks 0.66 s before the other light (light 1) blinks as the car approaches. (a) What is the time interval (t'2 - t'1) between the blink events in the car's frame? (Hint: Think about the sign).  (b) What is the x displacement x'2 - x'1 between the events in the car frame

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: A Space Shuttle which is 60 meters in length flies past you at 1.2 x 104 m/s. How much shorter is it…

A:

Q: Suppose the speed of light were 1000 mi/h. You are traveling on a flight from Los Angeles to Boston,…

A: According to your watch, what time is it when you land in Boston. Given, speed of lightc=1000…

Q: A starship passes Earth with speed of v1 and sends a drone forward with speed v2 relative to itself…

A: The speed of the drone relative to planet E vDE is calculated under relativistic case by using the…

Q: If @p = 5 rad/s Clock-Wise, p = 0. 2 rad/s“ Counter-Clock Wise, d=2 cm and particle P moves in the…

A: Coriolis Acceleration = 2 ω→ × v→

Q: An astronomer on Earth observes red light at 680 nm from a distant galaxy. The astronomy knows that…

A:

Q: anjiro (T) is on a mission alongside with Kyojuro (K), Nezuko (N), Inosuke (I), and Zenitsu (Z).…

A: Given that: Since the train is moving towards west, then the front is west direction and the back…

Q: Imagine a spaceship traveling at a constant speed through outer space. The length of the ship, as…

A: The speed(v) of the spaceship with respect to the Earth.given,length of the spaceship measured by an…

Q: You are in the magic school bus alone. For some reason, you decide to shine a laser straight up. The…

A: Given a situation in which a magic bus which is travelling with a relativistic speed  v=.8c where c…

Q: Dan picks up a 15-m-long pole and begins running very fast, holding the pole horizontally and…

A: To determine: When Dan picks up a long pole and begins to run very fast, heading towards the barn.…

Q: In the “redshift” of radiation from a distant galaxy, the light Hy, known to have a wavelength of…

A: Given: Observed wavelength is 434 nm Appeared wavelength is 462 nm

Q: A train with skylights has the same rest length as a tunnel. The train goes through the tunnel at…

A: Let the S be defined as the rest frame of tunnel and S’ be defined as the rest frame of train. Let…

Q: A UFO is observed directly above the earth moving at a constant velocity. An astronaut on the moon…

A:

Q: The light from the sun takes 400 s to reach the earth. Assuming that the speed of the light is 2,…

A:

Q: Suppose the speed of light were 1000 mi/h. You are traveling on a flight from Los Angeles to Boston,…

A: As per the theory of relativity speed of light is defined as a constant in all inertial frames. When…

Q: You are flying on a plane. Your friend is on the ground. The lights on the wing of the plane blink…

A: The friend is on ground and the person is on a airplane.  The lights on the wing of plane blink at…

Q: Wonder Woman is running by you with a meterstick (one meter long by her measurements) at 60% and in…

A:

Q: Imagine a spaceship traveling at a constant speed through outer space. The length of the ship, as…

A: Given: Actual length of the spaceship L0=30.8m when observed from earth it is contracted by 17.2cm

Q: About how far apart must you hold your hands for them to be separated by 1.5 nano-light-second (the…

A: Given data: The time is t=1.5 ns. The speed of the light is c=2.998×108 m/s. The distance travel…

Q: A meter stick moves past you, with its motion relative to you parallel to its long axis. If you…

A:

Q: A Space Shuttle which is 60 meters in length flies past you at 1.2 x 104 m/s. How much shorter is it…

A:

Q: An astronaut is said to have tried to get out of a traffic violation for running a red light (λ =…

A:

Q: You're caught running a red light on Hwy 316. Attempting to impress the skeptical patrol officer…

A:

Q: A futuristic trip from Earth to Alpha Centauri is taking place. The travellers start on Earth, from…

A: To find the proper time that Team A measures during their trip, we can use the equation for proper…

Q: My sprint training regimen is surprisingly successful, and by the end of summer I can run at 60% the…

A: The question is asking about the effects of special relativity, specifically length contraction, on…

Q: You are driving down a two-lane country road, and a truck in the opposite lane is traveling toward…

A: You are driving down a two-lane country road, and a truck in the opposite lane is traveling toward…

Q: An organist on earth is playing Bach’s Toccata and Fugue in D Minor, which is being broadcast by a…

A: D minor is a scale comprising of D-1, D0, D1, D2, D3, D4, D5, D6, D7 keys etc. Since D4 is a middle…

Q: A spacecraft flies past the earth in the direction toward the moon, a distance of 3.84 * 10^5 km. As…

A: Given:Taking Earth as frame of referance, T=6sTaking Spacecraft as frame of referance, T0=2sDistance…

Q: A UFO is observed directly above the earth moving at a constant velocity. An astronaut on the moon…

A:

Q: Willy Wonka is in court for running a red light (675 nm). He tells the judge that it was indeed, a…

A:

Q: spacecraft is traveling at ~v = 38.4km s (yes, that is a reasonable speed for a rocket). How long…

A: Given: The speed of the rocket is 38.4 km/s. The distance from the earth to the moon is 384 Mm.

Q: Situation 1: Two automobiles A and B are approaching each other in adjacent highway lanes. At t = 0…

A:

Q: A track is 100.0m long. A particle moves parallel to the track with v such that (v/c)2 = 0.75. In…

A: Given that:Length of track in reference frame of track, L0=100.0 mParticle moving in parallel to the…

Q: The protractor has travelled about 15 cm in 0.2788 s at an angle of around 36.9° (measure to your…

A: Given:The distance travelled by the object: d=15 cm=15×10-2 mThe time taken by the object to travel…

Q: A cruise ship going across a lake 15km wide travels a distance of 6km at a certain speed and then…

A: Given,

Q: Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 years,…

A:

Q: A laser pointer is placed on a platform that rotates at a rate of 19 revolutions per minute. The…

A:

Q: Consider the case of two kids, Sam and Peter, riding a train and playing catch in an empty car. The…

A: Speed of train = 10 m/s (towards right)Speed of ball thrown by Sam = 5 m/s (towards right)Speed of…

Q: How long should it take the voices of astronauts on the Moon to reach the Earth? Assume that the…

A: The expression for the taken time is,

Q: When Barry enters the hallway, passing Clark, a spark jumps from Barry's elbow to the frame of the…

A: Given: Length of the hall way, Lc = 525 m Speed of flash measured by Clark, vc% = 28% of speed of…

Q: You’re standing on an asteroid when you see your best friend rocketing by in her new spaceship. As…

A: Given: The contracted length is L=400 m. The proper length id Lo=500 m. The expression for length…

Q: You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your…

A: (a) since the space ship travels at a speed comparable to the speed of light, the distance to the…