. A train with a proper length or length at rest of 200 m is traveling at a relativistic speed. If the  train has a contracted length of 100 m, what is the speed of the train? Express your answer in  terms of c, the speed of light?

Q: You and a friend pass each other in spaceships that are each traveling 0.61c relative to the other.…

A: Given : Relative velocity of both spaceships, v = 0.61c Stationary time measured for the nap, t =…

Q: One of the primary goals of the Kepler space telescope is to search for earth like planets. Data…

A: When bodies travel at relativistic speeds, phenomenon, such as time dilation and length…

Q: An armada of spaceships (at rest in frame A), of proper length Lo =1.10ly (ly is a unit of distance…

A: The question contains 5 sub-parts. As per our policy, we will answer the first 3. Kindly resubmit…

Q: A spaceship travels at 0.79c, where c is the speed of light. The journey takes 2 years according to…

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Q: Cody & Noel are on a space ship.  As measured in Earth's rest frame, their spaceship is…

A: Answer -)          t = 4.62 yearsExplanation:We havev = 0.92 cto = 11.79 yt = ?Use time dilation…

Q: Is the relativistic rule consistent with the fact that light can have only one speed in all…

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Q: You are standing still on a spacecraft that is traveling toward the Sun at 0.25c. a) How fast are…

A: a)Imagine that you are in a open spaceship(Try to visualize the situation). Now you are standing…

Q: As the vehicle goes into space, a pilot passes by you at a constant speed of 0.840 c. As the pilot…

A: It is an actual time lapse between two events, it varies from observer to observer as measured by…

Q: Two particles are created in a high-energy accelerator and moves off in opposite directions. The…

A: Write the expression for the speed of the second particle.

Q: An astronaut flies off in a ship away from the earth at 0.78c and leaves her husband at home.Which…

A: When an object moves with a speed close to the speed of light, then the time of that object runs…

Q: A spaceship whose rest length is 406 m has a speed of 0.83c with respect to a certain reference…

A: Given: The rest length of spaceship is L=406 m. The speed of spaceship relative to reference frame…

Q: A spacecraft with proper length 200 m travels at speed of 0.2c relative to an inertial frame of…

A: Proper length of space craft L= 200mspeed of space craft v=0.2C Speed of small ball U= 0.14C

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

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Q: A spaceship traveling at 0.53c relative to the Earth sends out a rocket that travels at 0.75 as seen…

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

Q: You are on a spacecraft traveling away from the earth at 0.75 c�. A beacon on earth flashes exactly…

A: Step 1: spacecraft would travel distance of 0.75c before receiving the next flash.  Step 2: Light…

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 supertrain of proper length 210 m travels at a speed of 0.85c as it passes through a tunnel having…

A: According to the special theory of relativity, if a body moves with a velocity v , which is nearly…

Q: If a m = 93.9 kg person were traveling at v = 0.994c, where c is the speed of light, what would be…

A: Solution:-Given thatmass of person (m)=93.9 kgspeed of person (v)=0.994cc=speed of light=3×108 m/s

Q: If an external force is operating on a system, is it feasible for it to be relativistic at the same…

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

A: Given The speed of the astronaut (v)           = 0.997 c The time spent by the astronaut t0 = 102 y…

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: A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long.…

A: Given data The speed of the rocket is, v=0.77c The observed length of the rocket observed on the…

Q: A particle has a lifetime of 91 nanoseconds (as measured in its own moving reference frame. It…

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Q: What are the rest energy, the kinetic energy, and the total energy of a 1.0 g particle wit of 0.7c?

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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: You and your archenemy pass each other in rockets that are each traveling 0.57c relative to the…

A: Lorentz transformation.  L = L01-v2c2 V= relative speed of both the spaceship C = speed of light Lo=…

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: 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: Relativistic formulas for time dilation, length contraction,and mass are valid(a) only for speeds…

A: The relativistic formulas for time dilation, length contraction, and mass, can be given as, Here,…

Q: Two spaceships are moving away from Earth in opposite directions, one at 0.83*c, and one at 0.83*c…

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Q: As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two…

A: V = 0.729 c We need to calculate haw many bacteria are in the culture on the rocket?

Q: 5. An astronaut aims a flashlight toward the tail of his space- ship, which is traveling with a…

A: Given:  Astronaut aims light beam toward tail of spaceship Velocity of spaceship = 0.5 c

Q: with total relativistic energy equal to 1.7 times its rest energy. The speed of the particle is v.…

A: Total relativistic energy is equal to 1.7 times its rest energy. E = 1.7e

Q: As your friend speeds past you, you measure her rocket to be 8.7 m long but when her rocket was…

A: Given data: The observed length is l=8.7 m. The true length is l0=6.5 m.

Q: A particle has a rest mass of 7.15×10−27 kg and a momentum of 5.75×10−18 kg·m/s. Determine the total…

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Q: An observer moving toward Earth with a speed of 0.86 c notices that it takes 4.8 min for a person to…

A: v1 = 0.86 c towards the earth t1 = 4.8 min v2 = 0.91 c , away from earth Let to by the time measured…

Q: 2. a) The average life span for a dog is 12 years. Ifa dog is placed on a space ship traveling at…

A: (a) Given: The average life span for a dog is 12 years. The speed of the spaceship is 0.998c.…

Q: 14. An astronaut is flying in a spaceship with a speed of 0.8 c with respect to Earth. The astronaut…

A: We will first write formula for time dilation. Then we apply it to the given problem. The detailed…

Q: As a locket ship moves by at 0.95c a mark is made on a stationary axis at the front end of the…

A: The problem based on the concept of length contraction. Length contraction: To understand the…

Q: A spacecraft with proper length 600 m travels at speed of ().3c relative to an inertial frame of…

A: thank you

Q: A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the…

A: Given- Length of spacecraft (Lo) = 1 km = 1000 m Speed of spacecraft (v) = 0.75 c

Q: If a m = 87.5 kg person were traveling at v = 0.992c, where c is the speed of light, what would be…

A: Kinetic energy is the energy a particle or an object has because it is in motion. An object gains…

Q: Two particles in a high-energy accelerator experiment approach each other head-on with a relative…

A: Given data:  The speed of the particle, v = 0.810 c.

Q: A spaceship moves past Earth with a speed of 0.808c. As it is passing, a person on Earth measures…

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Q: Particle X has a speed of 0.850 c and a momentum of 8.85x10-19 kgm/s. What is the mass of the…

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.