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 0.188 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.) (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 reach Earth as observed by the aliens on the mother ship? yr (d) If the lander has a mass of 3.78 x 10 kg, what is its kinetic energy as observed in Earth's reference frame?

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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 0.188 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.)
(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 3.78 x 105 kg, what is its kinetic energy as observed in Earth's reference frame?
Transcribed Image Text: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 0.188 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.) (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 3.78 x 105 kg, what is its kinetic energy as observed in Earth's reference frame?
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