A star is 15.0 light - years (ly) from Earth. (a) At what constant speed must a spacecraft travel on its journey to the star so that the Earth–star distance measured by an astronaut onboard the spacecraft is 3.00 ly? (b) What is the journey’s travel time in years as measured by a person on Earth and (c) by the astronaut?

Q: As the drawing shows, a carpenter on a space station has constructed a 30.0° ramp. A rocket moves…

A: v = 0.854cwhere c is the speed of lightθ = 30° Since it is in x-direction, there will be length…

Q: A spaceship heads directly toward an asteroid at a relative speed of 0.75c. When it is 3.0 x 108 m…

A: Time interval between the events in the spaceship's frame ∆ts=∆ta1-vc2=∆Lv-∆Lc1-vc2=∆Lccv-11-vc2

Q: An airplane is moving with respect to the earth at a speed of 600 m/s. Its proper length is 50 m. By…

A: Proper length of airplane Lo=50 m and velocity of plane 600 m/s.  We need to find the length of the…

Q: (a) How many meters are there in 1.00 light-year? (b) An astronomical unit (AU) is the average…

A: Speed of light, v=2.988×108m/s

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: 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: Many expressions in special relativity contain the gamma (y) factor. 1 Y = v²lc² In the equation, v…

A:

Q: A particle travels at 1.90 x 108 m/s and lives 2.10 x 10-8 s when at rest relative to an observer.…

A: The decay time in the rest frame is, The particle’s velocity is,

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

A:

Q: What happens to the length of an object as its velocity approaches the speed of light? A. The object…

A: The object appears to shorten.

Q: An observer in reference frame S′ observes that a lightning bolt strikes the origin, and 1.0×10−4 s…

A:

Q: A spacecraft is moving past Earth at a constant speed v which is 0.90c. The astronaut measures the…

A: The time interval ∆t that the observer on Earth measures between the ticks at the astronaut’s clock…

Q: A red light flashes at position xR = 3.00 m and time tR = 1.00 × 10-9 s, and a blue light flashes at…

A:

Q: If a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c…

A: Speed of the capsule relative to the ship using velocity addition theorem.

Q: Many expressions in special relativity contain the gamma (y) factor. 1 y = V1 – 04c2 In the…

A: We have γ=11-v2c2 where,v= velocity.            c=speed of ligth.

Q: please help: As measured in Earth's frame of reference, two planets are 384000 km apart. A spaceship…

A:

Q: In an Earth reference frame, a star is 44 light-years away. At what per cent of the speed of light…

A:

Q: Suppose that a father is 23.00 y older than

A:

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: 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: How far from the earth would you be able to travel in a lifetime of 82 years if you were able to…

A:

Q: la). An object measures 65 m in length, mass 25 kg when it is at rest. It travels with a spacecraft…

A:

Q: A particle travels at 1.90×108 m/s and lives 2.10×10−8 s when at rest relative to an observer. How…

A:

Q: A light source and an observer approach each other with relative speed v 0.9c, and the frequency…

A:

Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…

A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c

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

A:

Q: Determine an expression for the total travel time of the light pulse, as measured by the following:…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts (a, b,…

Q: Many expressions in special relativity contain the gamma (y) factor. 1 Y = √1-v²/c² In the equation,…

A: The gamma factor is expressed as follows. γ=11-v2c2

Q: An astronaut in a rocket moving at 0.50c toward the sun finds himself halfway between the Earth and…

A:

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: If a m = 81.1 kg person were traveling at v = 0.980c, where c is the speed of light, what would be…

A:

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 cosmic ray travels 60 km through the earth’s atmosphere in 400 μs, as measured by experimenters on…

A: The velocity of cosmic ray is, v=dtv=60×103 m400×10-6 sv=1.5×108 m/s

Q: An observer on Earth sees Planet X to be stationary and also sees a rocket travel from Earth toward…

A: When an object travels with speed comparable to the speed of light, then the classical velocity…

Q: How long should it take the voices of astronauts on the Moon to reach the Earth? Assume that the…

A: The expression for the taken time is,

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: 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