Captain J. Kirk of the SS Enterprise measures Earth receding from him at the same speed at which he fires an explorer module in the forward direction. If the speed of the explorer module relative to Earth is 0.80c, then find the speed of the Enterprise relative to Earth.

Q: Sam leaves Venus in a spaceship headed to Mars and passes Sally, who is on Earth, with a relative…

A: a) As the departure of Sam and Sally from Venus and the arrival at Mars id happening at the same…

Q: An astronaut at rest on Earth has a heart rate of 70. beats/min. When the astronaut is traveling in…

A: The formula to calculate the heart beat rate is,

Q: If a spaceship, approaching the Earth at 0.190c, sends a message capsule toward the Earth at 0.390c…

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Q: An astronaut at rest on Earth has a heart rate of 70 beats/min. When the astronaut is traveling in a…

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Q: An observer in reference frame S′ observes that a lightning bolt strikes the origin, and 1.0×10−4 s…

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Q: Two particles are created in a high-energy accelerator and moves off in opposite directions. The…

A: Write the expression for the speed of the second particle.

Q: A moving rod is observed to have a length of ℓ = 2.00 m and to be orientedat an angle of θ = 30.0°…

A: (a) The observed length of the moving rod is l = 2.00 m. The angle made by the rod with the…

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 spaceship traveling at 0.5c relative to earth is 45 m long as measured by its crew. How long is…

A: The original length of the spaceship, L0=45 m   The velocity of a spaceship, v=0.5 c

Q: A spaceship, 190 m long as seen on board, moves by the earth at 0.930c. What is its length (in m) as…

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Q: It has been proposed that spaceships of the future will be powered by ion propulsion engines in…

A: Given that, The velocity of ions relative to the engine vis=-0.80c The velocity of the ship relative…

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

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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: As spaceship A moves away from the earth at 0.524c, the captain observes a second spaceship (B)…

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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…

A:

Q: An observer on the earth sees a spaceship approaching at 0.52c. The ship then launches an…

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Q: Starship "Alpha" travels at 0.9c past an identical starship "Beta," which is at rest. Both a cabin…

A: We have a starship alpha which travels a given distance with velocity v=0.9c where c is the speed of…

Q: As spaceship A moves away from the earth at 0.518c, the captain observes a second spaceship (B)…

A:

Q: A supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

A: Formula to calculate the contacted length of the train measured by the track side observer is,

Q: As an example, consider a spaceship moving away from you at a velocity of 0.5c. Suppose that the…

A: Given: The speed (v) of the spaceship is 0.5c. Introduction: According to the relativistic velocity…

Q: The proper length of one spaceship is three times that of another. The two spaceships are traveling…

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Q: Experimenter A in reference frame S stands at the origin looking in the positive x-direction.…

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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: While flying past a space station at 0.500c, and at precisely 6.00 seconds before arriving at the…

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Q: A base on Planet X fires a missile toward an oncoming space fighter. The missile’s speed according…

A: The expression for velocity of an object is, u'=u-v1-uvc2

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

A: given: velocity v=0.75 c with respect to Earth T =25 yrs

Q: A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the…

A: Given- Length of spacecraft (Lo) = 1 km = 1000 m Speed of spacecraft (v) = 0.75 c

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: A particle moves along the x' axis of frame S' with velocity 0.33c. Frame S' moves with velocity…

A: Given data A particle moves along the x axis of frame s with velocity 0.33c Frame s moves with…

Q: A rocket launched outward from Earth has a speed of 0.38c relative to the Earth. The rocket is…

A: The speed of the meteor as observed from earth is     0.435967c  m/s.

Q: A spacecraft has a speed of 0.4c relative to Earth. As measured on Earth, the elapsed time between…

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Q: A spaceship whose rest length is 378 m has a speed of 0.91c with respect to a certain reference…

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Q: As spaceship A moves away from the earth at  0.490c,  the captain observes a second spaceship (B)…

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Q: As spaceship A moves away from the earth at 0.550c, the captain observes a second spaceship (B)…

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Q: A muon travels 60 km through the atmosphere at a speed of 0.9997c. According to the muon, how thick…

A: Given data The initial length is Lo=60 km The speed of muon is v=0.9997c The thickness of the…

Q: As spaceship A moves away from the earth at 0.510c, the captain observes a second spaceship (B)…

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

A:

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