how far did it travel in its own frame of reference before hitting Earth?
Q: You and a friend pass each other in spaceships that are each traveling 0.61c relative to the other.…
A: Given : Relative velocity of both spaceships, v = 0.61c Stationary time measured for the nap, t =…
Q: Because of the earth’s rotation, a person living on top of a mountain moves at a faster speed than…
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Q: (a) According to the theory of special relativity, what is the difference between their ages when…
A: GIVEN: Age of both twins=19 yrs distance d =12 ly speed of one boy v1 =0.832c speed of another boy…
Q: A spaceship moving toward Earth with a speed of 0.99c launches a probe in the backward direction…
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Q: Planet A is 1.43 × 1012 m from Planet B in the solar system. A rocket travels from Planet B to…
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Q: lighthouse sweeps its beam of light around in a circle once every 7.6 s. To an observer in a…
A: Given, Time interval, ∆t=7.6s ∆t'=16s
Q: You are in a spaceship which is moving at 2.0 x 108 m/s (two-thirds the speed of light, 0.67c)…
A: Givenspeed of spaceship, v=0.67cOne of the basic postulate of special relativity is -speed of light…
Q: A spaceship has a proper length of 48.41m. It is currently passing by the Earth moving at 55.8% of…
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Q: The control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…
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Q: Two space ships are traveling towards each other at high speeds. A space station has two beacons,…
A: Given:for stationary observer on station, location of beacons, Lo = 50 km = 50×103 mFor space ship…
Q: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…
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Q: (a) What is the speed (in m/s) of spaceship B relative to spaceship A? (Enter your answer to at…
A: Einstien's velocity addition theorem The relative velocity of two objects never exceeds the velocity…
Q: A spaceship flies over Earth at a speed of 0.845c. A scientist measured the length of the moving…
A: Given spaceship speed v=0.845c And its length while it's moving L=160m Let's assume at rest on earth…
Q: A spaceship travels at a constant speed from Earth to a planet orbiting another star. When the…
A: Step 1:
Q: Pam is inside a rocket ship flying at a speed of 0.80c relative to Earth. The moment that he flies…
A: The relation of time is t'=t1-v2c2
Q: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…
A: The velocity of spaceship is, v=dt=1.5 ly9.461×1015 m1 ly1.8 yr3.154×107 s1 yr=14.1915×1015…
Q: A space beacon on Planet Karma emits a pulse of light every second. Spaceman Trevor flies directly…
A: Given data: Speed of Trevor, v=0.95c
Q: With respect to frame S, the velocity of reference frame S' is (0.50i)c and the velocity of object C…
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Q: As measured in Earth’s frame of reference, the Earth and the Moon are 384,000 km apart. A spaceship…
A: Write the formula for the speed of the spaceship.
Q: An astronaut is out in space with an extremely precise timing device measuring the speed of various…
A: Solution:-
Q: A spaceship travels at 0.722c relative to Earth. If the spaceship fires a small rocket in the…
A: Solution: Given Values, The velocity of spaceship relative to Earth (VSE) = 0.722cThe velocity of a…
Q: An alarm clock is set to sound in 10.0 h. At t 5 0, the clock is placed in a spaceship moving with a…
A: Velocity relative to the earth (v) = 0.75c.Alarm set to sound at = 10.0 h.At 5.0 h the alarm clock…
Q: Two rockets are each 1800 m long in their rest frame. Rocket Orion, traveling at 0.80c relative to…
A: Let S be the earth's frame and S' be the rocket Sirius's reference frame. S' moves relative to S…
Q: A proton travels at 99.9936% of the speed of light. An antiproton travels in the opposite direction…
A: Given data: The speed of proton is vp=99.9936%c. The speed of antiproton is vap=99.9936%c.
Q: Many expressions in special relativity contain the gamma (y) factor. 1 y = V1 – 04c2 In the…
A: We have γ=11-v2c2 where,v= velocity. c=speed of ligth.
Q: You decide to travel to a star 64 light-years from Earth at a speed that tells you the distance is…
A: In this case, the speed is determined from the length contraction relation,
Q: The inertial reference frames, S and S', both share the same origin at t = t' = 0. The S' frame is…
A: Given,speed of S' frame v=0.7cFrom lorentz transformation,x=x'+vt'1-v2/c2y=y'z=z't=t'+vx'/c21-v2/c2
Q: A spaceship travels at a constant speed from earth to a planet orbiting another star. When the…
A: Time taken by the spaceship to reach the planet as measured by an observer on earth ( t ) = 14 y…
Q: You and your archenemy pass each other in rockets that are each traveling 0.57c relative to the…
A: Lorentz transformation. L = L01-v2c2 V= relative speed of both the spaceship C = speed of light Lo=…
Q: John's rocket is flying towards the Earth at 0.8c. John uses an IR probe beam to image the…
A: The expression for the speed detect on Earth is,
Q: A 20 year old astronaut goes off on a journey in a spacecraft that travels close to the speed of…
A: As we know dilationt=t01-v2c2 given t=10 years t0=?t0= ststionery timet=dilated timev= velocity…
Q: An alien spaceship traveling at 0.600c toward Earth launches a landing craft with an advance guard…
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Q: A ship moves at a constant speed between Earth and Alpha Centauri, 4.2 light years away. According…
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A cosmic ray particle is released from an exploding star that is 2600 Light Years from Earth. If the particle traveled at 98% the

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- A spacecraft is moving at speed 0.61c relative to two star systems—star system A and star system B— that are always the same distance apart with respect to each other. Observers aboard the spacecraft measure the time taken to travel from start system A to star system B as 23.22 years. What is the distance between the two star systems, in light-years, as measured by an observer that is bound to star system B.A spaceship travels at a constant speed from earth to a planet orbiting another star. When the spacecraft passes by the planet, and according to an observer on Earth, 13 years have elapsed on Earth (proper time) and 10 years have elapsed on board the ship. According to the astronaut on the spaceship, what is the elapsed time he measures on Earth?While flying past a space station at 0.500c, and at precisely 6.00 seconds before arriving at the station (as measured on the ship's clocks), a starship fires a hyperprojectile forward at 0.700c as measured in the ship's frame of reference. How fast is the projectile moving as seen by the space station's crew?
- A spaceship travels at 0.818c relative to Earth. If the spaceship fires a small rocket in the forward direction, how fast (relative to the ship) must it be fired for it to travel at 0.870c relative to Earth?Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.905c, and the other twin travels at 0.407c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time? A₂-A₁ = (b) Which twin is older?Setup: A futuristic race from Earth to Alpha Centauri is taking place. But the winner of the race isn't who gets there first, it's who measures the smallest proper time along the way. The competitors start on Earth, from position (t, x) = (0, 0). They must travel from Earth (considered stationary) to Alpha Centauri, a distance of L = 4.37 light years away, such that they arrive at Alpha Centauri at Earth time of T = 10 years. Upon arrival, they compare their personal times (the proper time they measure along their whole trip) and the team with the smallest proper time wins. Question: a) Team A's spaceship immediately blasts off at (t, x) = (0, 0) and travels at a constant speed until they reach Alpha Centauri at Earth time of 10 years. Team B, on the other hand, have a much faster ship— they can travel so fast, you may consider their maximum speed to be the speed of light. Team B stays stationary on Earth for as long as they can; then, they blast off and travel at constant maximum…
- A spaceship travels at a speed of 2.4 x 108 m/s. A clock in the spaceship passes 60 seconds. How much time (in second) passes on the clock at rest on the ground?Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 years, while an astronaut on the space ship says that the trip took 6.27 years. Find the speed of the spaceship (as measured by someone in Earth's rest frame) in terms of the speed of light. 0.959c 0.687c 0.489c 0.684c 0.779cA pirate starship in the distant future is being chased by the space police. The pirates are traveling at 1273 km/h while the police are traveling at 1431 km/h. The pirate ship needs 25 minutes to turn on its faster-than-light drive so it can jump into hyperspace to escape. How long, in minutes, will it take the space police to catch up to the pirates if they are 50 km away from one another? min Will the pirates be able to escape?
- In the lab frame, two protons are moving away from each other at equal speed. In the rest frame of each proton, the other proton has a speed of 0.700c. What does an observer at rest in the lab frame measure for the energy and (magnitude of) momentum of each proton? The mass of the proton is 938 MeV/c2.Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.867c, and the other twin travels at 0.515c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time? A₂-A₁ = i (b) Which twin is older?a) Suppose you decide to travel to a star 66 light-years away at a speed that tells you the distance is only 24 light-years. How many years would it take you to make the trip? Express your answer using two significant figures. b)In its own reference frame, a box has the shape of a cube 1.5 mm on a side. This box is loaded onto the flat floor of a spaceship and the spaceship then flies past us with a horizontal speed of 0.90 cc.What is the volume (m3 ) of the box as we observe it?