A spacecraft leaves Earth at a constant speed of 0.69c as measured by an observer on Earth. It heads towards a distant star system. The star system is 43.9 lightyears away from Earth, as measured by an observer on Earth. When the spacecraft leaves Earth, the captain of the crew is 24.5 years old. As the spacecraft arrives at the star system, it sends a radio signal back to Earth. Assuming the spacecraft never stops and continues past the star system with the same constant speed as in all parts above, how long does the radio signal take, in years (to one decimal precision), according to the spacecraft’s clock, to reach Earth in years?

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: The control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…

A:

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

A:

Q: A space shuttle passes the Earth at a speed of 0.80c. If the space shuttle is 30 m in length as…

A: Given: The speed of the space shuttle is 0.8c. The length of the space shuttle is 30 m.

Q: Two spaceships approach the Earth from opposite directions. According to a stationary observer on…

A: Given that:- Two spaceships A and B approch the earth from opposite directions.

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

A:

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

A:

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Proper length = L∘=100 m Speed = v = 0.9  Say length observed from earth is L The formula used will…

Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

A:

Q: A space traveler takes off from Earth and moves at speed 0.9700c toward the star Vega, which is…

A: in this question  we use simple space motion equation  and get answer.

Q: Otávio and Diana are at rest in the frame S', which moves at 0.600c in

A: Yes

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

A: Solution: Given: θ1 = angle of ramp constructed on space station = 30.0o     v = speed of rocket…

Q: kg, An unstable particle at rest spontaneously breaks into two fragments of unequal mass. The mass…

A: Given Data Mass of the first fragment is m1=2.80×10-28 kg Mass of the other fragment is…

Q: With respect to the earth, object 1 is moving at speed 0.90c to the right. Object 2 is moving to the…

A: See below

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

A:

Q: 18.) A space shuttle passes the Earth at a speed of 0.80c. If the space shuttle is 30 m in length as…

A:

Q: A supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

A: Formula to calculate the contacted length of the train measured by the track side observer is,

Q: An object moves by an observer at 0.400 c. The total energy of the object will be what factor times…

A:

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

A:

Q: A base on Planet X fires a missile toward an oncoming space fighter. The missile’s speed according…

A: The expression for velocity of an object is, u'=u-v1-uvc2

Q: A particle is moving at a speed of 0.925c and travels from one end of a 50 m long Physics lab to the…

A:

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.956c. Two…

A: If the relative speed between S and S' frame is v then the Lorentz transformation gives the…

Q: At a speed of 0.90c, a spaceship travels to a star that is 9.0 ly distant.a. According to a…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: is 0.961c. Two micrometeorites collide at coordinates x = 129 km and t = 192 μs according to an…

A: Given:- The origins of the two frames coincide at t = t' = 0 and the relative speed is 0.961c. Two…

Q: An observer in reference

A: 2.29×10-4 s

Q: The control panel on a spaceship contains a light that blinks every 1.51 s as observed by an…

A:

Q: A rocket launched outward from Earth has a speed of 0.38c relative to the Earth. The rocket is…

A: The speed of the meteor as observed from earth is     0.435967c  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: An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator,…

A:

Q: Why is the following situation impossible? On their 40th birthday, twins Speedo and Goslo say…

A: Determine the total time taken by Speedo in traveling between the two planets (going and returning…

Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

A:

Q: A muon travels 60 km through the atmosphere at a speed of 0.9997c. According to the muon, how thick…

A: Given data The initial length is Lo=60 km The speed of muon is v=0.9997c The thickness of the…

Q: A space cowboy wants to eject from his spacecraft 100,000 km after passing a space buoy, as seen by…

A: Given: The distance covered is 100000 km. The speed is 0.300 c.

Q: he period of a pendulum is measured to be 3.00 s in the inertial frame of the pendulum at Earth's…

A: Given: The period of pendulum is 3 s.             The speed of the observer is 0.950 c with respect…

Q: An astronaut is traveling in a space vehicle that has a speed of 0.500c relative to Earth. The…

A:

Q: A person on Earth observes two rocket ships moving directly toward each other and colliding as shown…

A: Relative velocity question, solution given in image

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.