You are driving down a two-lane country road, and a truck in the opposite lane is traveling toward you. Suppose that the speed of light in a vacuum is c = 69 m/s. Determine the speed of the truck relative to you when (a) your speed is 25 m/s and the truck’s speed is 35 m/s and (b) your speed is 5.0 m/s and the truck’s speed is 55 m/s. The speeds given in parts (a) and (b) are relative to the ground.

Q: A spaceship approaches Earth at a speed of 0.42c. A light on the front of the ship appears red…

A: (a)   Write the expression for the frequency of the light appeared by an observer on earth when the…

Q: Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2 taken to be 75.0 years, a…

A: Givento=2.54×107 light yeart=75 years

Q: As shown in the figure, a stationary mirror is mounted in a reference frame S, and an intergalactic…

A: As per guidelines, the first three sub-parts have been answered.

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: The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at…

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Q: The factor y (gamma) appears throughout the expressions of special relativity. It depends only on…

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Q: earth's frame of reference, i

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Q: Consider a space vehicle that has a length of 15.5 meters when at rest. This space vehicle zooms…

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Q: Near the center of our galaxy, hydrogen gas is moving directly away from us in its orbit about a…

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Q: tourist is walking at a speed of 1.05 m/s along a 6.03-km path that follows an old canal. If the…

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Q: What is the total energy of a proton moving at a speed of 2.4 × 108 m/s? (proton mass is 1.67 ×…

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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: A particle has a rest mass of 6.95×10−276.95×10−27 kg and a momentum of 5.07×10−18 kg·m/s.5.07×10−18…

A: The relativistic energy of a particle in terms of momentum and rest mass can be expressed as,…

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: Samir is standing on the ground as Maria flies past him in her spaceship at 0.800c in the +x…

A: Length of the stick is L Velocity of the spaceship is 0.8c (Here c  is the speed of light)

Q: v=0.570c

A: Velocity of the train, v=0.570cDistance d=1km=1000mThe time difference between the arrival of the…

Q: A star is 15.0 light - years (ly) from Earth. (a) At what constant speed must a spacecraft travel on…

A: a)The gamma factor is given by

Q: An object moving with velocity u's = 0.6c in a frame that is itself moving at v =0.8c. The velocity…

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Q: Two spaceships A and B are travelling in opposite directions and pass each other. A passenger in…

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Q: As a spaceship is moving toward Earth, an Earthling measures its length to be 325 m, while the…

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Q: The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at…

A: Speed of the ship moving away v=0.291c and speed of the torpedo with respect our ship u=0.343c where…

Q: These questions refer to identical spaceships that you and your friend are using. The ships are…

A: The solution of the problems is given below

Q: The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at…

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Q: A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…

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Q: Two spaceships A and B are travelling in opposite directions and pass each other. A passenger in…

A: Given,  There are 2 spaceships A and B. The length of ship A measured by a passenger traveling in…

Q: A meter stick moving in a direction parallel to its length appears to be only 43.6 cm long to an…

A: Given: The actual length of the stick is 1 m( meterstick). The apparent length of the stick is 43.6…

Q: n enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.273 of the…

A: Given data:-  The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away…

Q: A spacecraft is moving at speed 0.68c relative to two star systems- star system A and star system B…

A: Speed of spacecraft relative to star systems = v = 0.68c Travel time according to spacecraft to=…

Q: A spaceship, moving away from the Earth at a speed of 0.9c, shines a green laser at Earth. An…

A: Given, Speed of space ship is, v = 0.9 c

Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…

A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…

Q: A certain X-ray machine generates X-rays from a beam of electrons accelerated from zero to…

A: The speed of electrons in the electron beam is v=3×108 ms-1 The pulse of duration for which…

Q: All motion in this problem is in one dimension. A Z-ship is approaching Earth from the north at 0.68…

A: Velocity of Z ship: 0.68 c Velocity of Q ship: 0.68 c Frequency of emitted signal :9.1 MHz

Q: The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at…

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Q: An alien spaceship traveling at 0.600c toward Earth launches a landing craft with an advance guard…

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Q: TJ,CJ & DJ are working at a particle accelerator facility.  In one experiment, they observe that…

A: Relative velocity = 1.088cAlso please find the detailed solution for your reference.…

Q: A spaceship is moving relative to the earth. An observer on Earth sees that 3601 seconds have passed…

A: Time dilation is phenomena that happens between two objects one at rest and one moving at a speed…

Q: The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at…

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Q: A spacecraft is moving at speed 0.61c relative to two star systems—star system A and star system B—…

A: Time measured by spacecraft to =23.22 yr Due to the high speed of spacecraft there will be…

Q: 2. A ladder 6.00 m long leans against a wall inside a spaceship. From the point of view of a person…

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Q: As a result of the collisions of cosmic rays with atoms in the upper atmosphere, muon particles are…

A: Muon is an unstable particle and will decay very fast. It follows the exponential decay function…

Q: One of the wavelengths of light emitted by hydrogen atoms under normal laboratory conditions is λ =…

A: Here the wavelength of light increases, Doppler shift is negative. wavelength of the source,…

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.