Choose the option that makes the following statement correct. An object’s proper length is measured by an observer [(a) who measures the length of the moving object as it passes; (b) who is at rest relative to the object.]

Q: The proper length of one spaceship is three times that of another. The two spaceships are traveling…

A: The proper length of the faster ship is three times that of the slower ship

Q: A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of…

A: Given: The velocity v1 = 0.6c, The velocity v2 = 0.7c, Angle of velocity v1 with x axis = 50.0

Q: A man is running on a straight road perpendicular to a train track and away from the track at a…

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Q: An astronaut travels in a spaceship traveling at 0.87 c away from a stationary observer on the…

A: according to tension we need to find the proper length observed by Astronaut Riding in the spaceship…

Q: Saturn is 1.43 x 1012 m from the sun. A rocket travels along a line from the sun to Saturn at a…

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Q: Show that for any relative velocity v between two observers, a beam of light projected by one…

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Q: A spaceship in distress sends out two escape pods in opposite directions. One travels at a speed v1…

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Q: A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives…

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Q: How fast would a rocket be traveling if a stationary observer noticed its length was contracted to…

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Q: Two neutron stars are separated by a distance of 1.0 x 1011 m. They each have a mass o are initially…

A: Given:- The separation distance between the two neutron stars r= 1.0 x 1011 m  They have a mass m =…

Q: As measured on Earth, a spaceship traveling at 0.94c takes 8 years to complete the trip from Earth…

A: Postulates of Special Theory of Relativity: All the laws of physics are the same in all inertial…

Q: To whom does the elapsed time for a process seem to be longer, an observer moving relative to the…

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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: Suppose that a father is 23.00 y older than

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Q: A spacecraft with a proper length of 250 m passes by an observer on the Earth. According to this…

A: proper length (Lo) = 250 m Let the speed of spacecraft = v time taken to pass a point as observed by…

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A: Relative Speed of the race pilot is v = 0.830c  d = 1.13×10⁸ m

Q: Suppose an astronaut is moving relative to the Earth at a significant fraction of the speed of…

A: The astronaut is moving relative to the earth. So, the earth is also moving relative to the…

Q: The proper length of one spaceship is three times that of another. The two spaceships are traveling…

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Q: A car with a proper length of 8.0 m passes by. Calculate the contracted length when the speed of…

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Q: A rocket cruises past a laboratory at 0.400 x 10° m/s in the positive I-direction just as a proton…

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Q: A spacecraft with a proper length of Lp passes by an observer on the Earth. According to this…

A: It is known that when an object moves in high speed with respect to an observer then its length…

Q: 4. 37.9 · A spacecraft of the Trade Federation flies past the planet Coruscant at a speed of 0.630c.…

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Q: An astronaut traveling at a speed of 0.75c requires 25 years, as measured on Earth, to make a round…

A: given: velocity v=0.75 c with respect to Earth T =25 yrs

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

A: Speed of light, c = 3×108 m/sVelocity of muon, v = 0.95cTime period, ∆t0 = 1.52×10-6 s β = vcβ =…

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

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Q: As measured on Earth, a spaceship traveling at 0.97c takes 3 years to complete the trip from Earth…

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Q: How far from the earth would you be able to travel in a lifetime of 81 years if you were able to…

A: Given, Life-time measured in the earth's frame t0 = 81 years. speed (v) =0.82 c where "c" = speed of…

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

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Q: Consider a space shuttle traveling at 8 × 103 m/s above the earth. How much time per day is an…

A: Given: velocity 'v' of the space shuttle = 8 x 103 m/s

Q: As measured on Earth, a spaceship traveling at 0.92c takes 12 years to complete the trip from Earth…

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Q: Suppose that a father is 20.00 y older than his daughter. He wants to travel outward from Earth for…

A: The formula for the time dilation is: The father is 20 years older than his daughter but after…

Q: To whom does the elapsed time for a process seem to be longer, an observer moving relative to the…

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Q: As measured from the Earth, a spacecraft is moving at speed 0.80 c when it releases a probe at speed…

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Q: Apply the special theory of relativity to prove that the time interval t in the moving reference…

A: Consider that you are in an inertial frame (S) where there is a light clock consisting of 2 mirrors…

Q: If the kinetic energy of a particle is equal to its rest energy then what must be its speed?

A: Given ,        the kinetic energy of a particle equals to its rest energy                speed (v)…

Q: What will be the mean lifetime of a muon as measured in the laboratory if it is traveling at v=0.1c…

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Q: To whom does an object seem greater in length, an observer moving with the object or an observer…

A: In case 1 - Observer moving with the object. As, in this observer is moving with an object his and…

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A: Speed of space racer (v)= 0.84 c distance travelled by space racer as observed by you (L) = 1.29×108…

Q: In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of…

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