If astronauts could travel at v = 0.902c, we on Earth would say it takes  (4.20/0.902) = 4.66 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts' clocks? In years   (b) What is the distance to Alpha Centauri as measured by the astronauts? In 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: 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: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…

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: As measured on Earth, a spaceship traveling at 0.94c takes 8 years to complete the trip from Earth…

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

A:

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

A:

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

A:

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

A:

Q: How much would you age in traveling a distance of 5.46 light years from earth if you were able to…

A: Given:distance, d0 = 5.46 light yrssoeed, v = 0.835 c

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: While flying past a space station at 0.500c, and at precisely 6.00 seconds before arriving at the…

A:

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: If two spaceships are heading directly towards each other at 0.800c , at what speed must a canister…

A: Given information: Here v is the speed of each spaceship S1 and S2, and ux’ is the speed of the…

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

A:

Q: The speed of light in water is 2.30 × 108 m/s. Suppose an electron is moving through water at 2.50 ×…

A:

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: As measured on Earth, a spaceship traveling at 0.92c takes 12 years to complete the trip from Earth…

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: A severely injured Peter can only live for the next 3.5 hours. Before dying, he wants to go back to…

A: Speed is the distance traveled per unit time. Its SI unit is m/s. The SI unit of distance is meter.…

Q: spaceship according to pilot? > A ship is travelling to Alpha Centuari at 0.95c and takes 4.5 years…

A:

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

A:

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: 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:

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,…