5. A stationary observer fires a laser. An observer in a space ship is moving to the left at 0.99c. What is the magnitude of the speed of light as measured by the observer in the ship ? Just don't state that it is c. Show that it is e.
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- 6. You are a space traveller, moving at 0.60c with respect to Earth, on your way to a star that is stationary relative to Earth. You measure the length of your trajectory to be 8.0 light-years (y). Your friend makes the same journey at 0.80c with respect to Earth. What does your friend measure the length of the trajectory to be? 7. A spacecraft travels along a space station platform at 0.65c relative to the platform. An astronaut on the spacecraft determines the platform to be 3.00 X 102 m long. What is the length of the platform as measured by an observer on the platform?4. Bob is moving away from Alice with speed of 0.5c. Carlos is moving away from Alice and to Bob with speed of 0.8c. What is the speed of Carlos as measured by perpendicular Bob?15. Observer 0 fires a light beam in the y direction (v, = c). Use the Lorentz velocity transformation to find v, and v, and show that Ở also measures the value c for the speed of light. Assume that O' moves relative to O with velocity u in 24. the x direction.
- A space cowboy wants to eject from his spacecraft 1.70×105 km after passing a space buoy, as seen by spectators at rest with respect to the buoy. To do this, the cowboy sets a timer on his craft that will start as he passes the buoy. He plans to cruise by the buoy at 0.300 c. How much time should he allow between passing the buoy and ejecting? A. 1.80 s B. 2.00 s C. 1.60 s D. 1.90 s E. 1.85 sA spaceship is traveling with constant velocity +0.1c relative to Earth. At t = () a missile is fired from the spaceship in + direction with speed 0.7c relative to the spaceship. (You can assume that the missile reaches this velocity at the moment it is fired, and that the velocity of the spaceship doesn't change when firing the missile). a. What is the velocity of the missile relative to Earth? Give answer in units of c. 0.74 At time t₁ = 1 s (in the reference frame of the spaceship), the spaceship emits a laser pulse (i.e. a light pulse), towards the missile. The laser pulse hits the missile and destroys it immediately at the moment of the hit. The clocks in Earth, the spaceship and the missile were set to t = t' = t" = () at the moment at which the missile was fired. b. Find the time (in seconds) of the destruction of the missile, in the frame of reference of the missile. c. Find the time (in seconds) at which the light emitted in the explosion (destruction) of the missile reaches…7
- A rocket shippasses extremely close to the earth with a speed of 0.900c.Observers on the ship and on earth agree that it is 1pm. At 1:33pm, as indicated on a rocket shipclock, the ship passes a small space station which is fixed relative to the earth and whose clocks read earth time.a.What time is it on the space station clocks when the ship passes?b.How far from earth is the space station?5. A rocket launched outward from Earth has a speed of 0.40c relative to the Earth. The rocket is directed toward an 0.70c relative to the rocket and directly incoming meteor that may hit the planet. If the meteor moves with a speed of toward it, what is the speed of the meteor as observed from Earth? с £60 ssfo ssf60 he 0 ssf60 of ssf60 ssie, sf60 ssf60ªssfSpaceship R is moving to the right at a speed of 0.733c with respect to Earth. A second spaceship, L, moves to the left at the same speed with respect to Earth. What is the speed of L with respect to R?? c