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

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Q: The light from the sun takes 400 s to reach the earth. Assuming that the speed of the light is 2,…

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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…

A:

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: 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: 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: 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 leaves Earth at 75 percent light speed. An event occurs at (50,40,30,20) m of…

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Q: An alien spaceship travels at v=0.999c-299482km/s (where 'c' is the speed of light equal to 299782…

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Q: Q5 The acceleration of a particle is defined by the relation a = 0.15 m/s. Knowing that x = -10 m…

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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: 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,…

Q: An organist on earth is playing Bach’s Toccata and Fugue in D Minor, which is being broadcast by a…

A: D minor is a scale comprising of D-1, D0, D1, D2, D3, D4, D5, D6, D7 keys etc. Since D4 is a middle…

Q: Two spaceships, A and B, fly by a space station. An observer on the space station uses a telescope…

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Q: A duck, standing by the side of the road at night, sees a car approaching at a speed of 0.2c. If the…

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

A: We know that,Relativistic Doppler shift , λ0λ0=λsc+vc-vwhere, λ0 is the wavelength observed in…

Q: Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 years,…

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Q: You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your…

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Q: Two identical spaceships are under construction. The constructed length of each spaceship is 1.1 km.…

A: Original length of the spacecraft A and B is Velocity of spacecraft A with respect to the earth is…

Q: When Barry enters the hallway, passing Clark, a spark jumps from Barry's elbow to the frame of the…

A: Given: Length of the hall way, Lc = 525 m Speed of flash measured by Clark, vc% = 28% of speed of…

Q: A cylindrical spaceship of length 35.0 m and diameter 8.35 m is traveling in the direction of its…

A: Given :-   L = 35.0 m  d = 8.35 m V = 2.44 × 10 8  We know C = 3 × 10 8   For part c given  d = 10…

Q: An astronaut is traveling at a constant velocity of 0.8 times the speed of light (c = 3 x 10^8 m/s)…

A: Time dilation is a key concept of Einstein's theory of relativity. When an object approaches the…

Q: Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile…

A: Given The velocity of the missile with respect to attacking spaceship is u'=0.955c where c is the…

Q: A beam of light is moving directly along the spaceship, but through an old-fashioned fiber optic…

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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.