Consider that GPS satellites circle the Earth at an altitude of about 20,200 kmabove the surface of the Earth.Due to special relativity, if the clock on board the GPS satellite measures 24hours (1 Earth day), how much more (or less) time will elapse as measured by aclock "at rest" on the Earth? Give your answer in micro-seconds, us (where106 us = 1 s). Hint: you are asked for the time *difference* between thetwo observers.

Here, is radius of earth, is altitude above the surface of the earth, G is gravitational constant,…

Answered: hours (1 Earth day), how much more (or…

hours (1 Earth day), how much more (or less) time will elapse as measured by a clock "at rest" on the Earth? Give your answer in micro-seconds, us (where of

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Relativity

Section9.4: Consequences Of Special Relativity

Problem 9.3QQ

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Question

Consider that GPS satellites circle the Earth at an altitude of about 20,200 km
above the surface of the Earth.
Due to special relativity, if the clock on board the GPS satellite measures 24
hours (1 Earth day), how much more (or less) time will elapse as measured by a
clock "at rest" on the Earth? Give your answer in micro-seconds, us (where
106 us = 1 s). Hint: you are asked for the time *difference* between the
two observers.

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Step 1: Calculate the time period of satellite motion around the earth for one complete revolution.

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Step 2: Calculate the 1 earth day in seconds.

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Step 3: Calculate the time elapsed as measured by a clock ''at rest'' on the earth.

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