An observer moving toward Earth with a speed of 0.86 c notices that it takes 4.8 min for a person to fill her car with gas. Suppose, instead, that the observer had been moving away from Earth with a speed of 0.91 c. How much time would the observer have measured for the car to be filled in this case? Express your answer using two significant figures.

1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?

The space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?

A particle whizzes through your lab at a speed of 0.74c. Your detectors determine that its lifetime was 1.1ns. Find its lifetime in the particle's reference frame. Please give your answer in nanoseconds.

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 0.990c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.8 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

In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of 0.56c. He measures a trip as having a distance of 4.60e+05 m. How much time does Quicksilver measure this trip as taking? 2.73e-3 S Does Quicksilver measure the proper or dilated time? 2 proper time v Quicksilver's sister, Wanda Maximoff, is standing stationary near where he is running. How much time does Wanda measure this trip as taking? 3 3.29e-3 S What distance does Wanda measure for Quicksilver's trip? 4 Xm

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 # +

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 rockets moving towards each other. Rocket A moving to the right with speed 0.80c while rocket B moving to the left with speed 0.60c. The length of the two rockets are the same, that are 50m as measured by the earth observer.  i) What is the lengths of the two rockets as measured by the astronouts in their rockets? ii) What is the velocity of the rocket relative to each other? iii) If the earth observer measured the initial distance of the two rockets to be 2.52 x 1012 m apart, what are distance of the two rockets observed by observer in the rockets? iv) How long before they collide, observed by the observer in the rockets?  v) If both rockets could evacuate within 90 min (their own time), will they survive?

Imagine an alien spaceship and a human-controlled ship moving directly toward each other. An observer on Earth measures the both of their speeds as 0.685c with respect to the Earth. What is the speed of the alien ship with respect to the human ship? That is, what is the speed of the alien ship as measured by the pilot of the human ship? Express your answer as a fraction of the speed of light, c. |VAH/c|=