You have been hired as an expert witness in the future by an attorney representing the driver of a spacecraft. The driver is accused of exceeding the galactic speed limit of 0.700c relative to the Earth while being chased by a galactic police spacecraft. The driver claims he is innocent, that his speed was well below that limit. You have been provided with the following data: the police spacecraft was traveling at 0.600c while chasing the driver and a technician on the police spacecraft measured the suspected spacecraft as traveling at 0.300c relative to the police spacecraft. What advice should you give the attorney?

Q: An astronaut at rest on Earth has a heartbeat rate of 90 beats/min. When the astronaut is traveling…

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Q: A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of…

A: Given: The velocity v1 = 0.6c, The velocity v2 = 0.7c, Angle of velocity v1 with x axis = 50.0

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 whose height on the earth is exactly 2 m is lying parallel to the axis of a spacecraft…

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Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)…

A: Given: Length of the spacecraft as per observer (you) is 100 m Speed 'v' = 0.8 c

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: Two spaceships, each 100 m long when measured at rest, travel toward each other with speeds of 0.85c…

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Q: A space traveler takes off from Earth and moves at speed 0.9700c toward the star Vega, which is…

A: in this question  we use simple space motion equation  and get answer.

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

A: Consider The proper length of slower spaceship is "L" The proper length of faster spaceship "3L"The…

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to earth-based…

A: GivenLength of spaceship at rest with respect to observer, Lo=250 mSpeed of spaceship, v=0.8 c

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: A 26  year old astronaut travels in a space craft in the outer space for 2 years in a 0.8c speed of…

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Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…

A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c

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: 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: At a speed of 0.90c, a spaceship travels to a star that is 9.0 ly distant.a. According to a…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: An astronaut takes a light emitting beacon in a spaceship travelling at 0.87 c away from a…

A: Time dilation is the slowing down of a clock for an observer in relative motion w.r.t. to a…

Q: An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for…

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Q: a) Galactus tries to destroy the Earth by stopping the Moon in its orbit. What effect would this…

A: According to special theory of relativity, the time measured by moving objects is lees than…

Q: The control panel on a spaceship contains a light that blinks every 1.51 s as observed by an…

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Q: If two spaceships are heading directly towards each other at 0.800c , at what speed must a canister…

A: Given information: Here v is the speed of each spaceship S1 and S2, and ux’ is the speed of the…

Q: How far from the earth would you be able to travel in a lifetime of 88 years if you were able to…

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Q: An observer on Earth sees Planet X to be stationary and also sees a rocket travel from Earth toward…

A: When an object travels with speed comparable to the speed of light, then the classical velocity…

Q: Suppose a space probe moves away from the Earth at a speed 0.350c . It sends a radio wave message…

A: The speed of the space prob, v=0.350 c   The frequency of the source, fs=1.50 GHz

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to an earth-based…

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Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

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Q: pose a spaceship is approaching the Earth at 0.075c and a message capsule is sent toward it at…

A: GivenVelocity of spaceship with respect to earth u=0.075cRelative velocity between two objects  v=…

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

A: Given:-  The proper length of one spaceship is three times that of another. an Earth observer…

Q: As measured from the Earth, a spacecraft is moving at speed 0.80 c when it releases a probe at speed…

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Q: A space cowboy wants to eject from his spacecraft 100,000 km after passing a space buoy, as seen by…

A: Given: The distance covered is 100000 km. The speed is 0.300 c.

Q: A spaceship travels at 0.750c relative to Earth. If the spaceship fires a small rocket in the…

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Q: A person on Earth observes two rocket ships moving directly toward each other and colliding as shown…

A: Relative velocity question, solution given in image

Q: e t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at…

A: We draw a figure according to the given data in the question  here l= 4.2 x 108 m   [ Given ]

Q: An astronaut journeying to the nearby star Lacaille 9352 at a speed of 0.850c relative to Earth…

A: Speed of spacecraft,v=0.850cwhere c is velocity of speed of light.time observed on earth,t=20…

Q: A rocket measures 100 m long in its own frame (S') and is travelling at 0.995c relative to a frame…

A: a) In the S' frame, the time taken by the light pulse to arrive back at the tail of the rocket is…

Q: An armada of spaceships that is 1.00 ly long (as measured in its rest frame) moves with speed 0.800c…

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Q: A tracking station on Earth observes a rocket move away at 0.370c. This rocket is designed to launch…

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Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.119c . To an Earth-bound…

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Q: Muons at speed 0.9918 c are sent round and round a circular storage ring of radius 350 m. If a muon…

A:

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.