3. An observer P stands on a train station platform as a high-speed train passes by at u/c = 0.8. The observer P, who measures the platform to be 60 m long, notice that the front and back ends of the train line up exactly with the ends of the platform at the same time. According to a rider T on the train, what is the length of the train station platform?
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- A car traveling at 35.0 m/s takes 26.0 minutes to travel a certain distance according to the driver’s clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful:2. An observer P stands on a train station platform as a high-speed train passes by at u/c = 0.8. The observer P, who measures the platform to be 60 m long, notices that the front and back ends of the train line up exactly with the ends of the platform at the same time. How long does it take the train to pass P as he stands on the platform, as measured by his watch?Observers in reference frame S see an explosion located at x1=620 m. A second explosion occurs 6.0 micro-s later at x2=1500 m.In reference frame S', which is moving along the +x-axis at speed V, the explosions occur at the same point in space. What is the separation in time delta t' between the two explosions as measured in frame S'? Express your answer in microseconds (micro-s). delta t' = ? micro-s
- The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a reference frame in which the muons are stationary, if the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 ms. Suppose the muons move at a speed of 0.95 c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?Consider a 5.75 m long sports car going past you at great speed. How fast would it have to be going past you in order for it to appear only 5.25 m long? Give you answer as a ratio of the velocity to the speed of light c. v/c=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.
- A certain spacecraft measures 60 m in length when it is at rest. The spacecraft then travels at 75% of the speed of light. Determine the length of the spacecraft (a) according to a passenger onboard the ship. (b) according to an Earthbound observer. Explain your answersA train, which is 200 m long, approaches a tunnel, which is 120 m long. The train is moving at a velocity of 0.89 c. a. What is the length of the train as seen be someone standing at the entrance to the tunnel? m b. Is the train ever entirely inside the tunnel as seen be the observer at the entrance to the tunnel? ONLY 1 ATTEMPT IS ALLOWED FOR THIS PART. ---Select--- v c. What is the length of the tunnel as seen be a passenger on the train? m d. Is the train ever entirely inside the tunnel as seen by the passenger on the train? ONLY 1 ATTEMPT IS ALLOWED FOR THIS PART. ---Select--- vIf possible please do this on a computer. Thank you A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame of reference to be 50.0 m. A few months later, the ship docks, and you measure its length with a tape measure. What length does the tape measure show?