A spaceship approaching an asteroid at a speed of 0.62c launches a rocket forward with a speed of 0.26c relative to the spaceship. At what factor of the speed of light c is the rocket approaching the asteroid as measured by an astronaut on the asteroid?
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A spaceship approaching an asteroid at a speed of 0.62c launches a rocket forward with a speed of 0.26c relative to the spaceship. At what factor of the
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- Two 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?A spacecraft is moving at speed 0.61c relative to two star systems—star system A and star system B— that are always the same distance apart with respect to each other. Observers aboard the spacecraft measure the time taken to travel from start system A to star system B as 23.22 years. What is the distance between the two star systems, in light-years, as measured by an observer that is bound to star system B.
- A rocket is moving from the Moon to Mars (a distance of about 8.64×107 km) at 0.93c. What distance would an observer on the rocket measure, and what distance would an observer on the Moon measure?A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.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 HzThe nearest star to Earth is Proxima Centauri, which is 4.3 light years away. The spacecraft Potemkin is sent to this star at a constant velocity of 0.73c, and the craft carries a light beacon that flashes once a day to signal the earth that all is well. While traveling to the star the Potemkin passes a similar ship returning from the star at the same speed. How long does the trip take according to the space travelers inside the Potemkin? (b) (a) How long does the trip take according to Earth observers? (c) According to the space travelers inside the Potemkin, what is the distance to Proxima Centauri? (d) What is the speed of the returning craft as seen from the Potemkin What is the rate at which flashes are seen on Earth from the Potemkin? (e) (f) What is the rate of flashes sent by the returning craft as seen by the Earth observers?A rocket launched outward from Earth has a speed of 0.38c relative to the Earth. The rocket is directed toward an incoming meteor that may hit the planet. If the meteor moves with a speed of 0.70c relative to the rocket and directly toward it, what is the speed of the meteor as observed from Earth?
- Two identical spaceships are under construction. The constructed length of each spaceship is 1.1 km. After being launched, spaceship A moves away from earth at a constant velocity (speed is 0.850c) with respect to the earth. Spaceship B follows in the same direction at a different constant velocity (speed is 0.6c) with respect to the earth. Determine the length that a passenger on one spaceship measures for the other spaceship.An alien spaceship traveling at 0.560c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.760c relative to the mother ship (as measured by aliens on the mother ship). As measured on the Earth, the spaceship is 0.130 ly from the Earth when the landing craft is launched. (a) What speed do the Earth-based observers measure for the approaching landing craft? 0.926 C (b) What is the distance to the Earth at the moment of the landing craft's launch as measured by the aliens (mother ship)? 0.108 ly (c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship? 0.19 Your response differs from the correct answer by more than 100%. yr (d*) What travel time is required for the landing craft to reach the Earth as measured by Earth-based observers? yr (e*) What travel time is required for the landing craft to reach the Earth as measured by those on the landing craft? yrTwo spaceships are moving along the line connecting them. One of the spaceships shoots a missile towards the other. The missile leaves the attacking spaceship at 0.955c and approaches the other at 0.755c. What is the relative velocity of the two spaceships? Express it as a ratio to the speed of light. Let the relative velocity of the spaceships be positive if they are approaching each other and negative if they are moving apart from one another.