A woman on a rocket traveling at 0.32c (with respect to Earth) observes a meteor come from in front of her and pass her at 0.37c. How fast is the meteor moving with respect to Earth?
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- A spaceship travels at 0.758c relative to Earth. If the spaceship fires a small rocket in the forward direction, how fast (relative to the ship) must it be fired for it to travel at 0.878c relative to Earth?As spaceship A moves away from the earth at 0.510c, the captain observes a second spaceship (B) moving in the same direction at a speed of 0.520c relative to A. Find the speed of B relative to the earth.A spaceship approaching an asteroid at a speed of 0.77c launches a rocket forward with a speed of 0.27c 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?
- Spaceships A and B move in opposite directions at the same speed of 0.907c relative to earth, with A moving away from earth and B moving toward earth. Find the velocity of B relative to A.A person on Earth observes two rocket ships moving directly toward each other and colliding as shown in the figure below. At time t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at vA = 0.80c, is at point a, and rocket B is at point b, travelling to the left at vB = 0.60c. According to the Earth observer they are separated by a distance l = 4.2 x 108 m as shown in the other figure. How much time will elapse in frame A from the time rocket A passes point auntil collision?An astronaut travels to the next star at a speed of 0.95c and back. He notices that his trek has taken him 11 years. When he returns, how much time will have elapsed on Earth during his absence?
- The inertial reference frames, S and S', both share the same origin at t =t'=0. The S' frame is moving at a speed 0.700c in the positive direction, as seen by frame S. An event happens at (t',x', y', z') (300s, 2.50x10"m, 1.50x10"m, 2.90x10"m), as observed in the S' frame. What are the spacetime coordinates in the S frame?A spaceship travels from Mercury to Mars at a speed of 0.81c relative to the Earth. Assume Earth, Mars and Mercury don’t move relative to each other. The time of the trip as measured by an Earth observer is 700 seconds. What is the time of the trip as measured by a passenger on the spaceship? What is the distance between Mercury and Mars as measured by a passenger on the spaceship?How far from the earth would you be able to travel in a lifetime of 76 years if you were able to travel at a constant speed of 0.70c?
- A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI unitsA particle is traveling through the Earth’s atmosphere at a speed of 0.119c . To an Earth-bound observer, the distance it travels is 2.50 km. How far does the particle travel in the particle’s frame of reference?