The star Epsilon Eridani is 10.4 light-years from Earth. Imagine a spaceship that travels from Earth to Epsilon Eridani at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be (10.4ly/0.921c)= 11.2 years. (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by a passenger aboard the ship? years (b) What is the distance to the star (in light years) as measured by a passenger aboard the ship?

Q: You and a friend pass each other in spaceships that are each traveling 0.61c relative to the other.…

A: Given : Relative velocity of both spaceships, v = 0.61c Stationary time measured for the nap, t =…

Q: A Rocket passes by earth at a speed of 0.300c. If a person on the rocket takes 245 seconds to drink…

A:

Q: Planet A is 1.43 × 1012 m from Planet B in the solar system. A rocket travels from Planet B to…

A:

Q: If you were traveling away from Earth at speed 0.6c, would you notice a change in your heartbeat?…

A: You are moving away from Earth at a speed of 0.6c . Will you observe a change in your mass , height…

Q: A certain star is 10.6 light-years away (A light-year is the distance that light travels in one…

A: distance of a certain star =  10.6 light years1 light year = 9.5×1015 m speed of spaceship (v) =…

Q: If astronauts could travel at  v = 0.938c,  we on Earth would say it takes  (4.20/0.938) = 4.48…

A: a)The time-dilation is equation is given by,

Q: An astronaut whose height on the earth is exactly 2 m is lying parallel to the axis of a spacecraft…

A:

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: What is the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is…

A: The relativistic constant is, γ=11-v2c2 The relativistic momentum of an electron is, p=γmv=mv1-v2c2

Q: A spaceship from another galaxy passes over the solar system directly above a radial line from the…

A: Given Information: The speed of the space ship relative to the person on the Earth (Vse) = 0.800 c…

Q: As measured by the crew, a spaceship takes 5.6 years to fly from Earth to a distant star. If the…

A: Lorentz Transformation Equation: We have two inertial frames of references as S and S' with…

Q: If astronauts could travel at v = 0.902c, we on Earth would say it takes  (4.20/0.902) = 4.66 years…

A: Here we will apply Time dilation formulae

Q: In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri (4…

A: Given: Distance between Australian space agency and Alph Centauri, d=4 ly Speed of spaces according…

Q: As measured by the crew, a spaceship takes 5.6 years to fly from Earth to a distant star. If the…

A:

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

A:

Q: An apartment complex is 100 yards long as measured on earth. What length will an astronaut measures…

A:

Q: A spaceship is moving away from Earth at 0.842c when it fires a small rocket in the forward…

A: Spaceship is moving away from earth at speed u=.842cSmall rocket move forward with speed relative to…

Q: Consider two spaceships moving relative to each other. The relative velocity of each spaceship is…

A:

Q: You have been hired as an expert witness in the future by an attorney representing the driver of a…

A:

Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by…

A: Given: The speed of the particle kaon is v=0.980c. The life of particle is t=1.24×10-8 s.   The…

Q: The cosmic rays of highest energy are protons that have kinetic energy on the order of 1013 Mev. (a)…

A: Given: Kinetic energy of proton = 1013MeV = 1.6×10-6MJ = 1.6 J Diameter of Galaxy, d = 7.80×104ly

Q: A 25 m long beam is shot past a stationary space station at 0.99c. What length does the people on…

A: From Length's contraction:           L= L01-v2c2          L= 251-0.992c2          L= 25×0.141= 3.5 m

Q: How much would you age in traveling a distance of 4.77 light years from earth if you were able to…

A: In this question it is not given that which reference frame it is talking about. So,

Q: If a meter stick is travelling in space at 0.90c, how long does it appear to an Earth-bound…

A: Length of the while it is at rest with respect to earth is l0 = 1 m Speed of the stick is v = 0.90c…

Q: It has been proposed that spaceships of the future will be powered by ion propulsion engines. In one…

A:

Q: Teacher A and B are scheduled to have a class at 2:00 pm until 3:30 pm in the afternoon. Both came…

A: Time dilation, in the theory of special relativity, the “slowing down” of a clock as determined by…

Q: A pulsar is a stellar object that emits light in short bursts. Suppose a pulsar with a speed of…

A: Given

Q: Answering an emergency beacon, Captain Jack leaves the Earth on a rescue mission at 0.60c, arriving…

A: Given data: -  The speed at which Captain Jack leaves the earth is v = 0.60c. The arrival time at…

Q: makes a round trip at 0.6c to a star 12 light-years away, while twin B stays on the earth. Each twin…

A: Answer

Q: As measured by the crew, a spaceship takes 8.1 years to fly from Earth to a distant star. If the…

A: Postulates of Special Theory of Relativity: All the laws of physics are the same in all inertial…

Q: In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri,…

A: CONCEPT: Given,           The distance of alpha Centauri from the Earth is…

Q: An astronaut journeying to the nearby star Lacaille 9352 at a speed of 0.850c relative to Earth…

A:

Q: A star is 5.00 ly from the Earth. At what speed must a spacecraft travel on its journey to the star…

A: Given Data:   The actual distance between the earth and the star is, L0=5.00 ly The largest distance…

Q: A ship is travelling to Alpha Centuari at 0.95c and takes 4.5 years to get there as measured on…

A: Here we will answer 3rd and 4th question of Q4 as requested by the student.    3)Given…

Q: A spaceship travels at 0.750c relative to Earth. If the spaceship fires a small rocket in the…

A:

Q: If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years…

A: Formula to calculate the time passes on astronaut’s clock is,

Q: An astronaut journeying to the nearby star Lacaille 9352 at a speed of 0.850c relative to Earth…

A: Speed of spacecraft,v=0.850cwhere c is velocity of speed of light.time observed on earth,t=20…

Q: A space probe from Earth, speeding towards the Sun's nearest neighbor star moves at 0.255c and sends…

A: Speed of light, c = 3×108 m/sVelocity of the spaceprobe, vs = 0.255cvs = 7.65×107 m/sFrequency…

Q: How far from the earth would you be able to travel in a lifetime of 76 years if you were able to…

A: