The proper length of one spaceship is three times that of another. The two spaceships are traveling in the same direction and, while both are passing overhead, an Earth observer measures the two spaceships to have the same length. If the slower spaceship has a speed of 0.384c with respect to Earth, determine the speed of the faster spaceship. (Give your answer to at least 3 significant figures.)  ?c

Q: According to observer O, two events occur separated by a time interval At = +0.465 µs and at…

A: Given: Time interval ∆t=+0.465 μs Location separation ∆x=+53.4 m Speed : v = 0.762c

Q: Sam leaves Venus in a spaceship headed to Mars and passes Sally, who is on Earth, with a relative…

A: a) As the departure of Sam and Sally from Venus and the arrival at Mars id happening at the same…

Q: An astronaut on a spaceship traveling at 0.75c relative toEarth measures his ship to be 23 m long.…

A: Given, Velocity, v=0.75 c, Length of ship, l=23 m, and Time measured on the ship, t=28 min.

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

A: Given that :v=0.94 ct=1.525 μs

Q: The length of a spaceship is measured to be exactly half its rest length. (a) To three significant…

A: a) The length of the spaceship is given by the equation, It is given that,

Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)…

A: Given: Length of the spacecraft as per observer (you) is 100 m Speed 'v' = 0.8 c

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

A:

Q: 3. A relativistic muon is travelling through space at a speed of 0.95c. An observer on Earth tracks…

A: Speed of muon: v= 0.95c  Time interval in Earth frame of reference: ∆t'= 1.0 ms= 1.0 x 10-3 s.

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: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

A:

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

A:

Q: A space traveler takes off from Earth and moves at speed 0.9700c toward the star Vega, which is…

A: in this question  we use simple space motion equation  and get answer.

Q: A spaceship of rest length 130 m races past a timing station at a speed of 0.740c. (a) What is the…

A:

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

A:

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

A:

Q: An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years…

A:

Q: (a) How long would the muon as shown have lived as observed on the Earth if its velocity was 0.0500c…

A:

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

A:

Q: The neutron has a mass of 1.67 ✕ 10−27 kg. Consider a neutron moving with a speed of 0.910c. (Enter…

A: Given:- The proton has a mass m = 1.67 ✕ 10−27 kg a proton moving with a speed of 0.910c

Q: (a)Particles called r-mesons are created by accelerator beams. If these particles travel at 2.49 x…

A: Given   Speed of particles , v = 2.49×108 m/s  Time , ∆to = 2.60×10-8 s  Relativistic factor , Y =…

Q: A muon formed high in the Earth’s atmosphere is measured by an observer on the Earth’s surface to…

A: It is given that,

Q: At a speed of 0.90c, a spaceship travels to a star that is 9.0 ly distant.a. According to a…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

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: a) Galactus tries to destroy the Earth by stopping the Moon in its orbit. What effect would this…

A: According to special theory of relativity, the time measured by moving objects is lees than…

Q: A particle moves along the x' axis of frame S' with velocity 0.33c. Frame S' moves with velocity…

A: Given data A particle moves along the x axis of frame s with velocity 0.33c Frame s moves with…

Q: 1) A space traveler takes off from Earth and moves at speed 0.99c toward the star Vega, which is…

A: when an object moves with light of speed or near by difference in time frame has been noted.

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

A:

Q: Two identically constructed clocks are synchronized. One is put into orbit around Earth, and the…

A: According to the theory of general relativity, the clock in orbit undergoing centripetal…

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

A: Determine the total time taken by Speedo in traveling between the two planets (going and returning…

Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

A:

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

A:

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: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c.…

A: Observer measure the length of the spacecraft,   It is left measure by observer according to whom…

Q: A spaceship is heading directly toward the Earth at a velocity of 0.800c . The astronaut on board…

A:

Q: A spaceship flies past Mars with a speed of 0.985c relative to the surface of the planet. When the…

A: a) The proper time is the time measured by the observer on the surface of the Mars.

Q: 2.2. A rod of mass m = 1 kg flies with constant velocity past a mark which is stationary in the K…

A:

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: Consider a cosmic ray colliding with a nucleus in the Earth's upper atmosphere that produces a muon…

A:

Q: The control panel on a spaceship contains a light that blinks every 2.76 s as observed by an…

A: Given data: Speed of the spaceship, v=0.693c

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.