There are two twins, A and B. While twin A stays home, twin B travels with a speed (12/13)c to a far planet. Once twin B arrives at the planet, they turn around and travel back home at the same speed. When twin B arrives home, they find that they are 32 years younger than twin A.  Quantitatively prove that twin A cannot be younger than than twin B when they get back together.

Q: (a) According to the theory of special relativity, what is the difference between their ages when…

A: GIVEN: Age of both twins=19 yrs distance d =12 ly speed of one boy v1 =0.832c speed of another boy…

Q: Spaceships A and B move in opposite directions at the same speed of 0.431c relative to earth, with A…

A:

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

A: (a) Given: The speed of the muon is 0.99c. The time for which the muon lives is 1.45 μs.…

Q: A spacecraft has a speed of 0.600c with respect to Earth. 32.0h is determined to be the time…

A: speed (v) = 0.6 c time interval between two events on earth (t) = 32 h

Q: A spaceship is heading directly toward the Earth at a velocity of 0.800c. The astronaut on board…

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Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by…

A: Given data:Speed of particle is, .Actual life of particle is, .

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A: Velocity of spaceship relative to earth is Since rocket is sends out from the spaceship so its…

Q: The identical twins Speedo and Goslo join a migration from the Earth to Planet X, which is 20.0…

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Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.968c. Two…

A: Given: The relative speed is 0.968c. The coordinates of collision are x=98.2 km and t=239 μs.…

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.993c. Two…

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

A:

Q: Fred and George are 19.0 years of age when they left earth to travel to a distant planet 12.0…

A: GIVEN: Age of both twins Fred and George =19 yrs distance d =12 ly speed of Fred  v1 =0.9c speed of…

Q: A muon formed high in the Earth's atmosphere is measured by an observer on the Earth's surface to…

A: Given, Distance measured by an observer on the earth surface , l=3.43km=3430 m Speed measured by an…

Q: A car has length 4.40 m when it is at rest relative to you. If it moves past you at a speed of…

A: Given data:  Length of car at rest (L0) = 4.40 m Speed of car (v) = 0.88c Required: Measured length

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: Two radioactive nuclei are traveling in space to the right at 0.42c with respect to Earth. They both…

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

A: The expression for the relativistic velocity addition is given as  u=v+u'1+vu'c2 where v is the…

Q: A proton and anti-proton with rest energy of, Eo = 931 MEV/C² was traveling in opposite direction at…

A: The new energy of the proton and anti-proton in Giga Electron Volt(GEV). Given, Rest mass…

Q: A spaceship whose rest length is 490 m has a speed of 0.88c with respect to a certain reference…

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Q: Spaceships A and B move in opposite directions at the same speed of  0.863c  relative to earth,…

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Q: Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years…

A: GIVEN: Age of both twins=19 yrs distance d =12 ly speed of one boy v1 =0.905c speed of another boy…

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: The nearest star to Earth is Proxima Centauri, which is 4.3 light years away. The spacecraft…

A:

Q: Two friends, Sungyoung and Azhar are initially 10 years old. While Azhar remains on Earth, Sungyoung…

A:

Q: An observer in reference

A: 2.29×10-4 s

Q: A deuteron, consisting of a proton and neutron and having mass 3.34 x 10-27 kg, is traveling at…

A: Mass of deuteron m = 3.34×10-27 kg Speed of deuteron v = 0.950c

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: An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to…

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Q: (a) According to the theory of special relativity, what is the difference between their ages when…

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.