If astronauts could travel at  v = 0.956c,  we on Earth would say it takes  (4.20/0.956) = 4.39  years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts' clocks?  years (b) What is the distance to Alpha Centauri as measured by the astronauts?  light-years

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: 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: 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: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…

A:

Q: a clock on a space rocket ticks off at a time interval of 1hour. what is the time elapse on earth…

A: Time dilation                      ∆t' = ∆t1-v2c2 where v is the velocity

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: 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: An astronaut on a spaceship moving at 0.6c says that the trip between two stationary stars took 7.49…

A: Given : v = 0.6c to = 7.49 y

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

A:

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

A: Given:  mass of electron,m = 9.1 x 10-31 kg  velocity,  u =  0.985 c

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

A:

Q: If a spaceship is approaching the earth at 0.17c and a message capsule is sent toward it (the…

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

A:

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: An astronaut takes a light emitting beacon in a spaceship travelling at 0.87 c away from a…

A: Time dilation is the slowing down of a clock for an observer in relative motion w.r.t. to a…

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: David is 30 years old, and his sister Alexis is 25 years old, when David leaves to travel to planet…

A: The  time dilation is the difference in the elapsed time as measured by two clocks.

Q: Rocket A passes Earth at a speed of 0.79c. At the same time, rocket B passes Earth moving 0.94c…

A: Given :    velocity of rocket A, VA  = 0.79 c    velocity of rocket B , VB = 0.94 c

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: A proton is moving at a speed of 0.923c. If the kinetic energy is tripled, by how much does the…

A:

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: 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: What will be the mean lifetime of a muon as measured in the laboratory if it is traveling at v=0.1c…

A:

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

A: