The fictional rocket ship Adventure is measured to be 50 mlong by the ship’s captain inside the rocket. When the rocketmoves past a space dock at 0.5c, space-dock personnelmeasure the rocket ship to be 43.3 m long. What is itsproper length?(a) 50 m. (b) 43.3 m. (c) 93.3 m. (d) 13.3 m

Q: How fast must an object be going if its rest length is 2.1 times as long as its observed length?

A: Given: The rest length of the object is 2.1 times of the observed length.

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: Your spaceship zips past a spherical asteroid at 0.80c. What is the shape of the asteroid from your…

A: Shape of the asteroid from your point of view

Q: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a…

A: (a). the life time of moving muon is

Q: If you were on a spaceship traveling at 0.60 c away from a star, at what speed would starlight pass…

A: According to special relativity Let us consider a frame S'is moving with a speed v along x axis with…

Q: Suppose Spider-man throws a web that is 1.5 m long with a velocity of 0.85c with respect to the…

A:

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

A:

Q: A meter stick moving in a direction parallel to its length appears to be only 43.6 cm long to an…

A: Given: The actual length of the stick is 1 m( meterstick). The apparent length of the stick is 43.6…

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 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: Two students, Nora and Allison, are both the same age when Allison hops aboard a flying saucer and…

A:

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: A spaceship goes past a planet at a speed of 0.80c relative to the planet. An observer on the planet…

A:

Q: How much work must be done to increase the speed of an electron from rest to (a) 0.500c, (b) 0.990c,…

A:

Q: An astronaut travels in a rocket along the +x direction with a velocity of 0.50c relative to the…

A:

Q: Two spaceships, each moving at a speed 0.75c relative tothe Earth, are headed directly toward each…

A: Given: The velocity of each spaceship is 0.75c. Introduction: When the velocity of an object is…

Q: When a missile is shot from one spaceship towards another, it leaves the first at 0.950c and…

A:

Q: A spaceship passes you at a speed of 0.850c. You measureits length to be 44.2 m. How long would it…

A: Given, Length of spaceship, L0=44.2 m, and speed, v=0.850 c.

Q: In 1985 the space shuttle Challenger flew a cesium clock and compared its time with a fixed clock…

A: v = 7712 m/sc = 3×108 m/sβ = 77123×108β = 2.57×10-5

Q: What is the momentum of a proton moving at a speed v = 0.92c. 1105 MeV/c 4410 MeV/c 3055 MeV/c 2205…

A: In the question it is given that , speed of the proton ,v=0.92cmass of the proton…

Q: A subatomic particle moves through the laboratory at 0.90c. Laboratory experimenters measure its…

A: The given values are, v=0.90ct=2.3 ps=2.3×10-12 s

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

A:

Q: A very fast-moving train car passes you, moving to the right at 0.50c. You measure its length to be…

A: Given data: Speed of train, u=0.50c length measured by you, l=12 m speed of David, v=0.80c let the…

Q: At what speed, in m/s,  would a moving clock lose 1.1 ns in 1.0 day according to experimenters on…

A:

Q: An airplane has rest length 40.0 m and speed 630 m/s. To a ground observer, (a) by what fraction is…

A: (a) The expression for the length contraction is:

Q: A space cowboy wants to eject from his spacecraft 100,000 km after passing a space buoy, as seen by…

A: Given: The distance covered is 100000 km. The speed is 0.300 c.

Q: Suppose a celestial body is moving away from the Earth at a speed of 0.325c. It emits radio waves…

A:

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Speed of the shuttle is v = 0.90c Length of the shuttle is lo = 100 m

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

A:

Q: How much work must be done to increase the speed of an electron from rest to (a) 0.436c, (b) 0.967c,…

A:

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: An astronaut inside a spacecraft moving at 0.89c measure the length of the ship as being 100 m. How…

A:

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…

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.