A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long. What is the length of the rocket as measured by the passengers on the rocket? 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 s to go up and come back down. How long does it take as measured by somebody standing next to the tracks? Please give your answer in seconds.

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 # +

A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long. What is the length of the rocket as measured by the passengers on the rocket? Please give your answer in meters. 247.63

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).

This is the question please answer

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…

Leo and Owen 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.