A friend speeds by you in her spacecraft at a speed of0.720c. It is measured in your frame to be 4.80 m long and1.35 m high. (a) What will be its length and height at rest?(b) How many seconds elapsed on your friend’s watch when20.0 s passed on yours? (c) How fast did you appear to betraveling according to your friend? (d) How many secondselapsed on your watch when she saw 20.0 s pass on hers?

Q: A spaceship flies past you and you measure its length to be 99 m. If you know its rest length is 193…

A:

Q: alculate the interval Δs2 between two events with coordinates (x1 = 55m, y1 = 0m, z1 = 0m, t1 = 1…

A:

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

A:

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

A:

Q: A supertrain of proper length 94 m travels at a speed of 0.93c as it passes through a tunnel having…

A: The Lorentz transformation is the contraction of length l of any object with respect to the moving…

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

A: t=277μS x=83500 m

Q: A subatomic particle muon travels at constant velocity 0.9c and lives 1.2us as measured in the…

A:

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

A:

Q: A meter stick in frame S' makes an angle of 30° with the x'axis. If that frame moves parallel to the…

A: Since the frame is moving along the x-axis, Now, Also,

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

A: Given data: The velocity of spaceracer is u=0.84 c. The distance passed by spaceracer is d=1.29×108…

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.750c . To an Earth-bound…

A: Given:  Lo = 2.5 km  v = 0.750 c

Q: A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame to be 50.0…

A: Given: The speed of spaceship is v=0.90 c Let L0 be the proper length of spaceship. The apparent…

Q: Inertial frame S' moves at a speed of 0.60c with respect toframe S. Further, x = x' = 0 at t = t' =…

A:

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

A:

Q: A supertrain of proper length 100 m travels at a speed of 0.95c as it passes through a tunnel having…

A:

Q: While flying past a space station at 0.500c, and at precisely 6.00 seconds before arriving at the…

A:

Q: A spaceship whose rest length is 350 m has a speed of 0.82c with respect to a certain reference…

A:

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: 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: A spaceship whose rest length is 378 m has a speed of 0.91c with respect to a certain reference…

A:

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

A: velocity (v) = 0.56 c distance of trip according to Quicksilver (Lo) = 4.19×105 m

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: QIV. A. Investigate the concepts in problem solving. A boy rides to the right on a cart going 0.36c.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: In a nuclear reaction two identical particles are created,traveling in opposite directions. If the…

A: Given Data: The speed of the first particle is, u = -0.82c. The speed of the second particle is, v…

Q: A person on Earth observes two rocket ships moving directly toward each other and colliding as shown…

A: Relative velocity question, solution given in image

Q: 1. Assuming that you are moving with a constant speed of 0.55c when you passed by a man on the…

A:

Q: A spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the…

A: Given data The speed of the spaceship is given as v = 0.6c. The time advances by the ship on the…

Q: An armada of spaceships that is 1.00 ly long (as measured in its rest frame) moves with speed 0.800c…

A:

Q: The positive muon (?+), an unstable particle, lives on average 2.20?10−16 ? (measured in its own…

A: Given: A positivive mu+ Time ∆to = 2.20 × 10-16 s u = 0.900c To determine: Average lifetime and…

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.119c . To an Earth-bound…

A:

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

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.