A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be158 m long. What is the length of the rocket as measured by the passengers on therocket? Please give your answer in meters.As I speed by in my very fast train (v = 0.757c), I jump up. In my frame, it takes me 0.71 sto go up and come back down. How long does it take as measured by somebodystanding next to the tracks? Please give your answer in seconds.

Given data The speed of the rocket is, v=0.77c The observed length of the rocket observed on the…

Answered: A rocket speeds by the earth at 0.77c.…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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▾ Part A A space cowboy wants to eject from his spacecraft 1.30×105 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 0.278 c. How much time should he allow between passing the buoy and ejecting? 1.50 s 1.70 s 1.30 s 1.60 s ○ 1.55 s Submit Request Answer
Two rockets, A and B, approach the earth from opposite directions at speed 0.800c. The length of each rocket measured in its rest frame is 100 m. What is the length of rocket A as measured by the crew of rocket B?
As the drawing shows, a carpenter on a space station has constructed a 30.0° ramp. A rocket moves past the space station with a relative speed of 0.863c in a direction parallel to side x. What does a person aboard the rocket measure for the angle of the ramp? Number i 30.0° X Units
As the drawing shows, a carpenter on a space station has constructed a 30.0° ramp. A rocket moves past the space station with a relative speed of 0.773c in a direction parallel to side x. What does a person aboard the rocket measure for the angle of the ramp? Number i Units 30.0° X
An astronaut wants to take a trip to a planet that is 10 light-years away from Earth, in the frame of the Earth. (Assume the distance between Earth and the Planet is constant.) a. How fast must the astronaut travel (at constant speed) to arrive at the planet 15 years older? (Express the answer as a fraction of the speed of light.) b. If Earth tells the astronaut just before they leave to send a return radio signal back to Earth, how long should Earth expect to wait for the signal.
In 2010, a 20-year-old astronaut leaves her twin on earth and goes on a rocket to explore the galaxy. The rocket moves at 2.9 x 108 m/s during the voyage. It returns to earth in the year 2040. a. Using relativity, calculate the age of the returning astronaut. b. Find the length of the rocket in the earth’s frame of reference when it is moving, given that the rest length is 120 m. Assume you are a stationary observer viewing the rocket from the side.
A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.988c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 3.3 x 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number (b) Number i Units Units # +
PROBLEMS 8.1. A trip to the grocery store. Tabetha needs to pick up bananas from a grocery store located 1200 feet from her home. She travels there at a speed of V = c. As she starts her journey, her wristwatch, her home's wall clock, and the grocery store's wall clock all read noon. (Tip: It will help to make four sketches: in the Earth's frame, leaving home and arriving at the store; in Tabetha's frame, leaving home and arriving at the store.) a. How much time elapses in the Earth's frame during her journey? b. How much time does Tabetha's wristwatch tick off during this journey? c. In Tabetha's frame, the grocery store moves toward her. How far must it travel to reach her? d. Using your result for part (c) and the definition speed = distance traveled time elapsed find out how much time it takes for the grocery store to reach Tabetha. Compare with your result from part (b).
A 5-meter long missile passes an observer on the ground. The observer measures the passing missile with a length of 3 meters. What is the missile's speed in the ground observer's frame of reference? * 0.6c 0.4c 0.8c 1.25c 0.75c
Tony & Yuki are working at a particle linear accelerator that is 414 meters long. A particle is moving at 0.89 c in the accelerator. What is the length of the particle accelerator in meters according to the particle? Give your answer with no decimal places please.
Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.
Playing a high-stakes game of basketball with a series of cartoon characters. The court has a total length of 28 meters measured in its own rest frame. The Street Sprinter, an animated lion on your team, can run at a maximum speed of ½ c. As measured in the rest frame of the court, a player on the opposing side throws a ball at ¼c from half court. At the same time, the Street Sprinter starts running at full speed from the full length of the court away. Call this time t=0. Draw a Space-Time diagram from the rest frame of the court with the Street Sprinter's initial position as the origin. Mark the following events on it, and find their spacetime coordinates (t,x) in the frame of the court and (t',x') in the frame of the Street Sprinter: A: The ball is thrown from half-court. B: The Street Sprinter takes off from the other side of the court C: The ball reaches the net D: The Street Sprinter reaches the net e) From the perspective of the referee in the court rest frame, does the ball…

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