If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light - years away. The astronauts disagree. (a) How much time passes on the astronauts’ clocks? (b) What is the distance to Alpha Centauri as measured by the astronauts?

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: How much would you age in traveling a distance of 5.39 light years from earth if you were able to…

A: Given Total distance = 5.39 light years Speed of person = 0.691c We have to calculate the age…

Q: Time dilation happens in any speed. True or False?

A: TRUE

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: The Milky Way has a diameter (proper length) of about 1.2 x 105 light-years. As far as an astronaut…

A:

Q: What is the relative velocity of two spaceships if one fires a missile at the other at 0.750c and…

A: The expression for find relative velocity of both ships is v=u-u'uu'c2-1

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: 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: A spaceship is moving away from Earth at 0.892c when it fires a small rocket in the forward…

A:

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

A: Given data: Speed of particle is, v=0.980c. Actual life of particle is, T=1.24×10-8 s.

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

A:

Q: A proton has 1836 times the rest mass of an electron. At what speed will an electron have the same…

A: given data proton has 1836 times the rest mass of an electron proton moving at 0.0165c what speed…

Q: Compared to the length observed by a stationary observer, relativistic length or the length observed…

A:

Q: What is the momentum of an electron traveling at 0.980c ?

A: The expression for the Lorentz factor,

Q: How much would you age in traveling a distance of 5.19 light years from earth if you were able to…

A: The age would be 2.93 years

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 spaceship, moving away from Earth at a speed of 0.900c, reports back by transmitting at a…

A:

Q: Suppose you are planning a trip in which a spacecraft is to travel at a constant velocity for…

A: Given : to = 1 year  t = 76 years

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: If astronauts could travel at  v = 0.956c,  we on Earth would say it takes  (4.20/0.956) = 4.39…

A:

Q: pose a spaceship is approaching the Earth at 0.075c and a message capsule is sent toward it at…

A: GivenVelocity of spaceship with respect to earth u=0.075cRelative velocity between two objects  v=…

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: The spaceship Lilac, based on the Purple Planet, is779 m long when measured at rest. When the Lilac…

A: The Lilac is moving at speed of 0.369c wit respect to Earth.

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: 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: 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:

Q: A high-energy proton leaves the sun at 0.430c. In the frame of the proton, what is the distance to…

A: Given:- A high-energy proton leaves the sun at 0.430c Find:- In the frame of the proton,…

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…