Problem 81, Chapter 37 from Giancoli, “Physics for Scientists and ...

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Problem 81, Chapter 37 from Giancoli, “Physics for Scientists and Engineers.” A spacecraft (reference frame S') moves past Earth (reference frame S) at a ...

Problem 81, Chapter 37 from Giancoli, “Physics for Scientists and Engineers.” A spacecraft (reference frame S’) moves past Earth (reference frame S) at a velocity v, which points along the x and x’ axes. The spacecraft emits light along its y’ axis as shown in the figure below. (a) what angle does this liight make with the x axis in the Earth’s reference frame? (b) Show that the light moves with speed c also in the Earth’s reference frame (i.e. given c in frame S’). (c) Compare these relativistic results to what you would have obtained clessically (Galilean transformations). y’ S’ Spacecraft

light

x’

v

y S Earth light θ

x

Problem 12.13 from Griffiths, “Introduction to Electrodynamics.” Sophie Zabar, clairvoyante, cried out in pain at precisely the instant her twin brother, 500 km away, hit his thumb with a hammer. A skeptical scientist observed both events (brother’s accident, Sophie’s cry) from an airplane raveling at (12/13)c to the right (see figure below). Which event occurred forst, according to the scientist? How much earlier was it, in seconds? 12 c 13

500 km

brother

Sophie

Griffiths problem 12.8 A rocket ship leaves earth at a speed of (3/5)c. When a clock on the rocket says 1 hour has elapsed, the rocket ship sends a light signal back to earth. (a) According to the earth clocks, when was the signal sent? (b) According to earth clocks, how long after the rocket left did the signal arrive back on earth? (c) According to the rocket observer, how long after the rocket left did the signal arrive back on earth?

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