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3063_ProblemSet2

# 3063_ProblemSet2 - PHY3063 Spring 2007 Problem Set 2 PHY...

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PHY3063 Spring 2007 Problem Set 2 Department of Physics Page 1 of 2 PHY 3063 Problem Set #2 Due Tuesday January 30 (in class) (Total Points = 60, Late homework = 50%) Reading: Finish reading Tipler & Llewellyn Chapter 1 and start reading Chapter 2. Problem 1 (15 points): A flashlight at rest at the origin ( A ) of the O-frame is orientated at a 45 o angle with the x-axis as shown in the figure. At t = 0 the flashlight emits a light signal toward an observer ( B ) located a distance d = 1 light-year away ( as measured in the O-frame ). The O'-frame is moving along the x- axis of the O-frame with speed 2 / c V = and at t = t' = 0 the origins of the two frames coincide. (Note: A light-year is a measure of distance equal to 9.464×10 15 m, which is the distance light travels in one year.) Part A (3 points): What are the x' and y' components of the velocity of the light signal in the O'-frame ? ( i.e. what are v x ' and v y '? Express your answer in terms of c.) Part B (2 points): How long ( in years ) does it take the light signal to get from A to B according to an observer in the O-frame ?

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