Write down Lorenzt transformation equations of special theory of relativity. Can a person, in principle, travel from Earth to the galatic center (which is about 23000ly distant) in 100 years? Try to calculate what is the constant speed it need to make the trip. Explain "mass is equivalent to energy".

Q: In the theory of relativity, the Lorentz contraction formula = LoV v2 1 - c2 expresses the length L…

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Q: A particle with rest mass m travels with speed 0.75c. (a) Calculate the relativistic momentum of…

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Q: An astronaut on a spaceship traveling at 0.75c relative toEarth measures his ship to be 23 m long.…

A: Given, Velocity, v=0.75 c, Length of ship, l=23 m, and Time measured on the ship, t=28 min.

Q: If a GUT is proven, and the four forces are unified, it will still be correct to say that the orbit…

A: There are four different fundamental forces in nature. Gravitational force Weak nuclear force…

Q: The length of a spaceship is measured to be exactly half its rest length. (a) To three significant…

A: a) The length of the spaceship is given by the equation, It is given that,

Q: A cube has a volume of 1.2 cm and a mass of 7.3g when at rest on the Earth. If this cube is now…

A: Volume of cube V=1.2 cm3 and mass of cube m=7.3 g. Now the cube is given a velocity u=0.75c say in…

Q: Suppose a spaceship of length L, is traveling at a high rate of speed v relative to an observer. To…

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Q: Q2:- The average lifetime of a a meson in its own frame of reference is 24 .0 ns. If the z meson…

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Q: Physics A wormhole is created, with one mouth stationary here on Earth, and the other mouth on…

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Q: A muon is created 70 km above the surface of the earth. In the earth's frame, the muon is traveling…

A: (A)   The time elapses between the muon’s creation and the time it reaches the surface, that is, the…

Q: A nuclear power plant converts energy from nuclear fission into electricity with an efficiency of…

A: 1. The amount of energy lost per second to produce 1000M Watt of…

Q: A spaceship of rest length 130 m races past a timing station at a speed of 0.740c. (a) What is the…

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Q: Write your findings about special relativity with examples, how you can understand space-time…

A: Special relativity: It is introduced by the Einstein in 1905. According to him, “the physics laws…

Q: Good morning. could you help me solve this problem about the relativistic doppler effect? Thanks in…

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Q: The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into…

A: The Lorentz factor here is,

Q: Relativity 10 v.B What is the relativity factor y? Type your answer. 11 A newly-constructed space…

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Q: you and your friend pass each other in rockets that are each trvaeling0.23c relative to each other.…

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Q: Suppose a spacecraft of mass 17,000 kg is acceleratedto 0.15c. (a) How much kinetic energy would it…

A: a. kinetic energy can be expressed as KE=γ-1mc2

Q: How to reduce Lorentz transformation into the Galilean transformation? A. By its momentum goes to…

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Q: Describe the relativity velocity in detail, Obtain an expression for the cases when two bodies are…

A: The time rate of change of the relative position of one body with respect to another, it is called…

Q: he average lifetime of a meson in its own frame of reference is 26.0 ns. (This is its proper…

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Q: Starting from the Lorentz transformation, derive time dilation ?t = ? ?t0. Sketch the situation,…

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Q: A muon is created 60 km above the surface of the earth. In the earth’s frame, the muon is traveling…

A: a. t=dv=60×103 m0.9999×3×108 ms=2.0002×10-4s b. ∆tmuon=∆tearth1-vc2            =2.0002×10-4…

Q: Find the speed of a GPS satellite (height is 20,200 km above the surface of Earth). Hence find the…

A: By using equation, v = ( G m2 / R + h )1/2 v= ( 6.67 x 10-11 x 5.98 x1024 / 20200 x 103 + 6.38 x 106…

Q: To circle Earth in low orbit, a satellite must have a speed of about 2.8 x 104 km/h. Suppose that…

A: Ans:- Image-1

Q: A tau particle has a rest mass of 3.18x10kg. Suppose a tau particle is traveling et 1.25x10 " in the…

A: Given : m=3.18x10-28 kg v=1.25x108 m/s

Q: Do the relativity equations for time, length, and momentum hold true for everyday speeds? Explain.

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Q: Please derive a' (acceleration vector) in general Lorentz coordinates and discuss transformation law…

A: coordinate acceleration {\displaystyle \mathbf {a} =\left(a_{x},\ a_{y},\ a_{z}\right)} is the first…

Q: How long would the muon in attached Example have lived as observed on the Earth if its velocity was…

A: Here, tE=tR1-vc2

Q: The mass of a theoretical particle that may be associated with the unification of the electroweak…

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Q: Suppose we want to send an astronaut on a round trip to visit a star that is 200 light- years…

A: The distance of the Earth to the star is given 200 light-years. Hence, the distance that the…

Q: What do you understand by ‘time Dilation’ On the basis of Lorentz Transformations, discuss the…

A: The length of any object in a moving frame will appear foreshortened in the direction of motion, or…

Q: The nearest star to Earth is Proxima Centauri, 4.3 lightyears away. (a) At what constant velocity…

A: Given: The distance of Proxima Centauri is 4.3 ly. The time duration is 4.9 years.

Q: To circle Earth in low orbit, a satellite must have a speed of about 2.8 x 104 km/h. Suppose that…

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Q: If you were on on a space ship traveling at0.60c away from a star, at what speed would starlight…

A: Given: The velocity of the star light is v=0.6 c. Also, The velocity of the starlight is u= c. The…

Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…

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Q: Explain the fact the special  theory of relativity defines the limits for the validity of Newtonian…

A: Special relativity applies to particles moving at speed comparable to the speed of light. However,…

Q: Choose the option that makes the following statement cor- rect. Two events at a single location…

A: Proper time is the time interval measured between two events as measured by an observer who sees the…

Q: leaves A wonan that the ear th in a Space craft trie to the Maves ravnd n earest star,n light…

A: Distance, d = 4 LY Speed of aircraft, v= 0.9c

Q: Calculate the classical momentum of a proton traveling at 0.990 c , neglecting relativistic effects.…

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Q: 1) Relativistic Kinetic Energy vs. Rest Energy. 2) What is the Relativistic Momentum? 3) What is…

A: Rest mass is           m0=1016kg…

Q: An electron is limited to travel at speeds less than c. Doesthis put an upper limit on the momentum…

A: An electron is considered as a lightest and also a stable particle(atomic) An electron has maas M =…

Q: Imagine yourself as an astronaut being paid according to the time you spend traveling in space. You…

A: Required : Which clock to chose.

Q: (a) A light pulse emitted at the rear of the spaceship (event E,) arrives at the front (event E,).…

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Q: A meson particle when at rest decays 2 μs after it is created. (a) If moving in the laboratory at…

A: In the special theory of relativity, the time dilation is given as:∆t=∆t01-v2c2where∆t0 is time in…

Frame of reference

In physics, a frame of reference is a coordinate system used to specify either the position or the orientation or velocity of a body. The origin of the coordinate acts as a reference point for measuring the position or relative motion of a body. The coordinate system can be a cartesian coordinate, cylindrical coordinate, or a polar coordinate.