PHY2D_Quiz1 - (c What is the length of spaceship A as...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
QUIZ 1 PHYSICS 2D SPRING QUARTER 2009 Professor S.K.Sinha Formulas Lorentz Transormation: ! x = " ( x # vt ) ! y = y ! z = z ! t = " ( t # vx / c 2 ) Inverse Lorentz Tranformation: x = ! ( " x + v " t ) y = " y z = " z t = ! ( " t + v " x / c 2 ) Relativistic transformation of velocities ! u x = ( u x " v ) / (1 " u x v / c 2 ) ! u y = u y / # (1 " u x v / c 2 ) Inverse Transformation: u x = ( ! u x + v ) / (1 + ! u x v / c 2 ) u y = ! u y / " (1 + ! u x v / c 2 ) Relativistic Doppler Effect: f obs = 1 + v / c 1 ! v / c f source ( approaching ) 1. Two spaceships A and B pass each other in opposite directions, each traveling at a speed of 0.5c relative to an observer on Earth. The
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
passenger in spaceship A measures the length of his own ship to be 100m and the length of the oncoming spaceship B to be 30m. (a) What is the speed of B relative to A? (b) What is the length of spaceship B as measured by a passenger on B?
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (c) What is the length of spaceship A as measured by B? (15 pts) 2. A Physics Professor teaching PHY 2D is giving a Quiz to his class who are on a spaceship moving at velocity v relative to him. He starts the Quiz when the class’s position and his position coincide. If he wants to stop the Quiz after a time T (spaceship time), show that he must send a light signal to his proctors (traveling on the ship) at time on his clock T = T 1 ! v / c 1 + v / c (Allow for the time taken for the light signal from the professor to the spaceship). (10 pts)...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern