A spaceship in distress sends out two escape pods in opposite directions. One travels at a speed v₁ = -0.60c in one direction, and the other travels at a speed v₂ = +0.50c in the other direction, as observed from the spaceship. What speed does the first escape pod measure for the second escape pod?
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- An alien spaceship traveling at 0.600c toward Earth launches a landing craft with an advance guard of purchasing agents. The lander travels in the same direction with a velocity 0.800c relative to the spaceship. As observed on Earth, the spaceship is 0.184 light-years from Earth when the lander is launched. (a) With what velocity is the lander observed to be approaching by observers on Earth? (Enter your answer to at least three decimal places.) C (b) What is the distance to Earth at the time of lander launch, as observed by the aliens on the mother ship? ly (c) How long does it take the lander to reach Earth as observed by the aliens on the mother ship? yr (d) If the lander has a mass of 4.14 × 105 kg, what is its kinetic energy as observed in Earth's reference frame?How far from the earth would you be able to travel in a lifetime of 74 years if you were able to travel at a constant speed of 0.82c?Spaceships A and B move in opposite directions at the same speed of 0.863c relative to earth, with A moving away from earth and B moving toward earth. Find the velocity of B relative to A.
- A spaceship moves past Earth with a speed of 0.908c. As it is passing, a person on Earth measures the spaceship's length to be 74.2 m. (a) Determine the spaceship's proper length (in m). m (b) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by a person on Earth. s (c) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by an astronaut onboard the spaceship. sTwo rocket ships approach Earth from opposite directions, each with a speed of 0.85c relative to Earth. What is the speed of one ship relative to the other?How far from the earth would you be able to travel in a lifetime of 75 years if you were able to travel at a constant speed of 0.62c?
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- The Starship Enterprise, according some Trekkie analysts, is 300 meters long. If it is traveling at 0.985c. what would be the value of L, its length as seen from Earth?A person on earth notices a rocket approaching from the right at a speed of 0.79c and another rocket approaching from the left at 0.55c. What is the relative speed between the two rockets, as measured by a passenger on one of them?Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving away from the earth with a speed of 0.590c. If the radiation has a frequency of 8.64 x 10 Hz in the rest frame of the star, what is the frequency measured by an observer on earth? a) Of = 4.39 x 1014 Hz b) Of = 4.93 x 1014HZ c)Of = 4.45 x 1014 Hz d) Of = 4.39 x 1015 Hz e) Of = 4.69 x 1014 Hz