A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.

Q: Two spaceships are at the sun, and they set their clocks to zero. They then travel in opposite…

A: Given, Speed of spaceships are 0.80c and 0.90c  distance from the sun is 5.0*109 m

Q: A particle with mass m has speed 0.335c relative to inertial frame S. The particle collides with an…

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Q: The astronaut whose heart rate on Earth is 60 beats/min increases his velocity to v = 0.75 c. Now…

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Q: An astronaut at rest on Earth has a heart rate of 70. beats/min. When the astronaut is traveling in…

A: The formula to calculate the heart beat rate is,

Q: If a spaceship, approaching the Earth at 0.190c, sends a message capsule toward the Earth at 0.390c…

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Q: Two particles are created in a high-energy accelerator and moves off in opposite directions. 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: A spacecraft is moving past Earth at a constant speed v which is 0.90c. The astronaut measures the…

A: The time interval ∆t that the observer on Earth measures between the ticks at the astronaut’s clock…

Q: A spaceship, 190 m long as seen on board, moves by the earth at 0.930c. What is its length (in m) as…

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Q: At what speed, as a fraction of c, will a moving rod have a length 60% that of an identical rod at…

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Q: Otávio and Diana are at rest in the frame S', which moves at 0.600c in

A: Yes

Q: Observers in reference frame S see an explosion located at x1= 480 m. Asecond explosion occurs 5μs…

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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: An observer in inertial frame S measures the space and time coordinates of an event to be x=750 m,…

A: From the question, it is given that- x = 750 m, y = 250 m, z = 250 m, and t = 2.0 x 10-6 s Speed of…

Q: Our spacecraft is passing the Earth at a speed of 0.9c. Then after traveling for 10 years, we make a…

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Q: An observer on the earth sees a spaceship approaching at 0.52c. The ship then launches an…

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Q: Starship "Alpha" travels at 0.9c past an identical starship "Beta," which is at rest. Both a cabin…

A: We have a starship alpha which travels a given distance with velocity v=0.9c where c is the speed of…

Q: A supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

A: Formula to calculate the contacted length of the train measured by the track side observer is,

Q: How far from the earth would you be able to travel in a lifetime of 82 years if you were able to…

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Q: Frame S' has a speed v = 0.6c relative to S in x direction which is parallel to x'. The clocks on S…

A: Given : Speed of S' with respect to S, v = 0.6c The clocks on S and S' are adjusted so that t= t'= 0…

Q: As an example, consider a spaceship moving away from you at a velocity of 0.5c. Suppose that the…

A: Given: The speed (v) of the spaceship is 0.5c. Introduction: According to the relativistic velocity…

Q: A small meteor, moving through the Solar at a speed of 0.70 c relative to the Earth, has a mass of…

A: Given data:  Speed (V) = 0.70 c Mass (m) = 10.2 kg c = 3×108 m/s

Q: How far from the earth would you be able to travel in a lifetime of 74 years if you were able to…

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Q: Experimenter A in reference frame S stands at the origin looking in the positive x-direction.…

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Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…

A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c

Q: An observer in reference frame S claims that two events occur simultaneously. As this observer sees…

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

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Q: A particle is moving at a speed of 0.925c and travels from one end of a 50 m long Physics lab to the…

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Q: A person on earth notices a rocket approaching from the right at a speed of 0.79c and another rocket…

A: Given  V1 = 0.79c  moving  from  right  to  left  . (w.r.t observer at earth)  V2 = 0.55 c    moving…

Q: An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for…

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Q: The origins of the two frames coincide at t = t’ = 0 and the relative speed is 0.990 c. Two…

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Q: How far from the earth would you be able to travel in a lifetime of 88 years if you were able to…

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Q: A ground observer made a measurement on a wooden box and the length was found to be 2.3 m. At what…

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Q: Why is the following situation impossible? On their 40th birthday, twins Speedo and Goslo say…

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Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.991c. Two…

A: a) To find the spatial coordinate of collision for an observer in frame s by Lorentz transformation…

Q: A person on earth notices a rocket approaching from the right at a speed of 0.75c and another rocket…

A: Given data: Velocity of the rocket from right side, vR→=-0.75cx^  Velocity of the rocket from left…

Q: A spaceship, 180 m long as seen on board, moved by the earth at 0.980c. What is it's length in m as…

A: Given data: Original Length (L0) = 180 m Speed (v) = 0.980 c Required: The length of spaceship…

Q: A computer in a laboratory requires  5.60 μs  to make a certain calculation, as measured by a…

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Q: e t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at…

A: We draw a figure according to the given data in the question  here l= 4.2 x 108 m   [ Given ]

Q: An astronaut at rest has a heart rate of 66 beats/min. What will her heart rate be as measured by an…

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Q: A tracking station on Earth observes a rocket move away at 0.370c. This rocket is designed to launch…

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Q: A projectile was launched from a certain location on earth and landed a certain distance away. An…

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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.