3063_ProblemSet1 - PHY3063 Spring 2007 Problem Set 1 PHY...

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PHY3063 Spring 2007 Problem Set 1 Department of Physics Page 1 of 2 PHY 3063 Problem Set #1 Due Tuesday January 16 (in class) (Total Points = 50, Late homework = 50%) Reading: Start reading Tipler & Llewellyn Chapter 1. Problem 1 (5 points): The relativistic factor 2 1 / 1 β γ = with β = V/c , where c is the speed of light in a vacuum. (a) (1 point) What is γ when β = 0 ? (b) (1 point) What is γ when β = 0.5 ? (c) (1 point) What is γ when β = 0.8 ? (d) (1 point) What is β when 2 = ? (e) (1 point) What is β when γ = 2 ? Problem 2 (10 points): Consider three identical clocks. Clocks A and B are at rest in the O-frame a distance d = 8.64×10 11 m apart ( as measured in the O-frame ) and at t = 0 (12 noon) they are set to the same time ( as observed in the O-frame ). Clock C is moving to the right along the positive x-axis of the O-frame with velocity V = 0.8c . Clock C is at the origin and at rest in the O'-frame . The origins of the two frames coincide at t = t' = 0 and at that time clock
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3063_ProblemSet1 - PHY3063 Spring 2007 Problem Set 1 PHY...

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