3. A futuristic spaceship flies past Pluto with a speed of 0.964c relative to the surface of the planet. When the spaceship is directly overhead at an altitude of 1500 km, a very bright sig- nal light on the surface of Pluto blinks on and then off. An observer on Pluto measures the signal light to be on for 80.0 us. What is the duration of the light pulse as measured by the pilot of the spaceship?

Q: A rocket traveling at 0.500c sets out for the nearest star, Alpha Centauri, which is 4.25 ly away…

A: Given, speed of rocket = 0.500c and distance from earth to alpha centauri is 4.25 ly

Q: An unstable particle is created in the upper atmosphere from a cosmic ray and travels straight down…

A: Length contraction (l) is the shortening of the measured length of an object moving relative to the…

Q: e) 644 nm 20. The distance between two far away stars is 6.80 light years. A spacecraft travels…

A: Given  Distance between two Stars  d = 6.80 light years     Since, Light year is defined as distance…

Q: Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54×107 light-years from Earth.…

A: Given, Distance, d = 2.54×107 light years  Time taken, t = 70 years

Q: Spaceship A moves away from Earth at a speed of 0.800c (Fig. P26.19). Spaceship B pursues at a speed…

A: The velocity of the spaceship A related to the Earth,

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

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: 37.2 • The positive muon (u), an unstable particle, lives on average 2.20 x 10-6 s (measured in its…

A:

Q: An observer on Earth sees a rocket and a saucer flying away from Earth. The observer sees the saucer…

A:

Q: 6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper…

A: Given data: i)  Proper lifetime, ∆t'=26.0 ns Speed of the particle, v=0.95c ii) Length of the rod is…

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

A:

Q: Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 107 light-years from…

A: Here , distance , d = 2.54 *10^7 light years time taken ,t = 85 years let the speed of the person is…

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

A:

Q: An alien spaceship traveling 0.600c toward Earth launches a landing craft with an advance guard of…

A: Dear student, the question contains more than three sub-parts. We will answer first three sub-parts.

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: 2. A ladder 5.50 m long leans against a wall inside a spaceship. From the point of view of a person…

A: The length(L) of the ladder as seen by the observer on the Earth. given, Length of the…

Q: Lee and Leigh are twins. At their first birthday party, Lee is placed on a spaceship that travels…

A:

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: Suppose a space probe moves away from the Earth at a speed 0.350c . It sends a radio wave message…

A: The speed of the space prob, v=0.350 c   The frequency of the source, fs=1.50 GHz

Q: A 4.0 meters long rod is measured by an observer moving at speed of 0.6c along its length what is…

A:

Q: A spaceship measures bright flashes of light from a distant star. The spacecraft now heads toward…

A:

Q: A spaceship is moving away from Earth at speed 0.20c. A source on the rear of the ship emits light…

A: a) The velocity of the source is anti-parallel to the line joining the source and the detector so…

Q: Please help me answer these questions, well explained. A spacecraft travelling at a speed of 0.95 c…

A:

Q: A muon is created 60.0 kmkm above the surface of the earth (as measured in the earth's frame). The…

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

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

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: Many galaxies have supermassive black holes at their centers. As material swirls around such a black…

A:

Q: A particle X with mass of mx = 1950m, is moving at speed of v = 0.950c along the x-axis in…

A: mx = 1950 mev = 0.95 c t = 3.14 μs

Q: A Foron cruiser moving directly toward a Reptulian scout ship fires a decoy toward the scout ship.…

A:

Q: An astronaut is traveling in a space vehicle moving at 0.500c relative to the Earth. The astronaut…

A: Speed of the astronaut is v = 0.500c Pulse rate of the astronaut is p = 75 beats per minute

Q: An observer moving at a speed of 0.995c relative to a rod (Fig. P26.49) measures its length to be…

A: Consider the observer to be moving in the x-direction. The x-component of the length is contracted…

Speed of light

The speed at which the light travels in a vacuum is unbiased for both the source and inertial frame of reference of the observer. This was postulated by the physicist, Albert Einstein, by observing the theory of electromagnetism of Maxwell. Also, there was no evidence for the luminiferous aether, that is, the medium for the propagation of light where the electromagnetic field exists.