A spacecraft leaves Earth at 75 percent light speed. An event occurs at (50,40,30,20) m of light-travel time in the spacecraft frame. What are the coordinates of the event as observed from Earth?
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- A certain type of elementary particle travels at a speed of 2.53 x 108 m/s relative to a lab. The average lifetime in the particle's rest frame is calculated to be 62.6 us. What will be the lifetime of the particle (in us) as measured by someone in the lab? (Use c = 2.9979 × 108 m/s)The distance between two light pulses moving along the x-axis of the frame S is 2km. What is the distance between them from the point of view of an observer moving at a speed of 0.2c along the x-axis relative to S?You are in a rocket moving away from Earth at one-third the speed of light relative to Earth. A friend is on Earth, and an astronaut in another rocket is moving toward Earth at one-third the speed of light (in the Earth reference frame), on a path collinear with your path. If each of you records the duration of your journey in your three respective reference frames, which of you records the proper time interval?
- A ship is heading off to Bernard's star at 0.700c. As it passes a space station (at rest with respect to the Earth) a few days out from Earth, the ship fires a "photon torpedo" in the forward direction and another in the reverse direction. the torpedoes have a speed relative to the ship of 0.700c. On a space-time diagram, determine the direction and speed of each torpedo as seen by the station. Check your answers using the relativistic addition of velocities formula.In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri, approximately 4 lightyears away. According to a clock on Earth how long will the rocket take to get there if it travels at v=0.999c=299482km/s (where 'c' is the speed of light equal to 299782km/s)? About 2 years. O About 6 years. O About 4 years. Zero time.The distance from earth to the center of our galaxy is about 24,000 ly (1 ly = 1 light year = 9.47 x 1015 m), as measured by an earth- based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 x 107 s.) Number Units
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