As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past you in her spaceracer at a constant speed of 0.75c relative to you. At the instant the spaceracer passes you, both of you start timers at zero. (a) At the instant when you measure that the spaceracer has traveled 1.20 * 10^8 m past you, what does the race pilot read on her timer? (b) When the race pilot reads the value calculated in part (a) on her timer, what does she measure to be your distance from her? (c) At the instant when the race pilot reads the

Q: A spaceship heads directly toward an asteroid at a relative speed of 0.75c. When it is 3.0 x 108 m…

A: Time interval between the events in the spaceship's frame ∆ts=∆ta1-vc2=∆Lv-∆Lc1-vc2=∆Lccv-11-vc2

Q: The astronaut whose heart rate on Earth is 60 beats/min increases his velocity to v = 0.75 c. Now…

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Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.975c. Two…

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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: A spaceship in distress sends out two escape pods in opposite directions. One travels at a speed v1…

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Q: A supertrain of proper length 94 m travels at a speed of 0.93c as it passes through a tunnel having…

A: The Lorentz transformation is the contraction of length l of any object with respect to the moving…

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Proper length = L∘=100 m Speed = v = 0.9  Say length observed from earth is L The formula used will…

Q: A red light flashes at position xR = 3.00 m and time tR = 1.00 × 10-9 s, and a blue light flashes at…

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Q: Otávio and Diana are at rest in the frame S', which moves at 0.600c in

A: Yes

Q: Observers in reference frame S see an explosion located at x1= 480 m. Asecond explosion occurs 5μs…

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Q: Our spacecraft is passing the Earth at a speed of 0.9c. Then after traveling for 10 years, we make a…

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Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A: Given data: The velocity of spaceracer is u=0.84 c. The distance passed by spaceracer is d=1.29×108…

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.750c . To an Earth-bound…

A: Given:  Lo = 2.5 km  v = 0.750 c

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.991c. Two micrometeorites…

A: We have two inertial frames of references as S and S' with coordinates (x, y, z, t) and (x', y', z',…

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A: Relative Speed of the race pilot is v = 0.830c  d = 1.13×10⁸ m

Q: A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame to be 50.0…

A: Given: The speed of spaceship is v=0.90 c Let L0 be the proper length of spaceship. The apparent…

Q: How far from the earth would you be able to travel in a lifetime of 74 years if you were able to…

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Q: An observer in reference frame S claims that two events occur simultaneously. As this observer sees…

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Q: An astronaut in a rocket moving at 0.50c toward the sun finds himself halfway between the Earth and…

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Q: In the earth’s rest frame, two protons are moving away from each other at equal speed. In the frame…

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Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.956c. Two…

A: If the relative speed between S and S' frame is v then the Lorentz transformation gives the…

Q: Space cruisers A and B are moving parallel to the positive direction of an x axis. Cruiser A is…

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Q: Suppose a cosmic ray colliding with a nucleus in the Earth’s upper atmosphere produces a muon that…

A: Speed of light, c = 3×108 m/sVelocity of muon, v = 0.95cTime period, ∆t0 = 1.52×10-6 s β = vcβ =…

Q: An alien spacecraft moving with the speed of 0.30c with respect to Earth, fires photon torpedoes…

A: Given: Alien spacecraft speed, v = 0.30c Speed of the photon torpedo with respect to the spaceship,…

Q: is 0.961c. Two micrometeorites collide at coordinates x = 129 km and t = 192 μs according to an…

A: Given:- The origins of the two frames coincide at t = t' = 0 and the relative speed is 0.961c. Two…

Q: An astronaut traveling at a speed of 0.75 c requires 25 years,as measured on earth,to make a round…

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Q: A ground observer made a measurement on a wooden box and the length was found to be 2.3 m. At what…

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Q: How far from the earth would you be able to travel in a lifetime of 81 years if you were able to…

A: Given, Life-time measured in the earth's frame t0 = 81 years. speed (v) =0.82 c where "c" = speed of…

Q: The positive muon (µ), an unstable particle, lives on average 2.20 x 10 reference) before decaying.…

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Q: In the lab frame, two protons are moving away from each other at equal speed. In the rest frame of…

A: Let us assume that the earth's rest frame is S, Proton 1's frame is S'. The velocity of Proton 1…

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.991c. Two…

A: a) To find the spatial coordinate of collision for an observer in frame s by Lorentz transformation…

Q: Answering an emergency beacon, Captain Jack leaves the Earth on a rescue mission at 0.60c, arriving…

A: Given data: -  The speed at which Captain Jack leaves the earth is v = 0.60c. The arrival time at…

Q: A computer in a laboratory requires  5.60 μs  to make a certain calculation, as measured by a…

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Q: An astronaut inside a spacecraft moving at 0.89c measure the length of the ship as being 100 m. How…

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Q: A spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the…

A: Given data The speed of the spaceship is given as v = 0.6c. The time advances by the ship on the…

Q: The control panel on a spaceship contains a light that blinks every 2.76 s as observed by an…

A: Given data: Speed of the spaceship, v=0.693c

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A: Speed of space racer (v)= 0.84 c distance travelled by space racer as observed by you (L) = 1.29×108…