3(i) You make a round trip to New York (~5000 km away) at a speed of 300 m/s. By how much does your watch differ from somebody measuring the time it took on the ground. (Strictly speaking we should worry about General Relativity in this problem so neglect the acceleration and deceleration and treat the problem as two observers, one stationary and one moving at 300 m/s.) (ii) GPS works by comparing clock ticks on atomic clocks on board satellites. The signals from GPS travel at the speed of light. To achieve a precision of 10m in your position, what precision do you need for the GPS clock? The international space statation is at a height of 370km above the earth and circles the earth 15.41 times per day. If you didn't take account of special relativity, how much would their calculated position, viewed from earth, be off after one day?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3(i) You make a round trip to New York (~5000 km away) at a speed of 300 m/s. By how
much does your watch differ from somebody measuring the time it took on the ground.
(Strictly speaking we should worry about General Relativity in this problem so neglect the
acceleration and deceleration and treat the problem as two observers, one stationary and
one moving at 300 m/s.)
(ii) GPS works by comparing clock ticks on atomic clocks on board satellites. The signals
from GPS travel at the speed of light. To achieve a precision of 10m in your position, what
precision do you need for the GPS clock?
The international space statation is at a height of 370km above the earth and circles the
earth 15.41 times per day. If you didn't take account of special relativity, how much would
their calculated position, viewed from earth, be off after one day?
Transcribed Image Text:3(i) You make a round trip to New York (~5000 km away) at a speed of 300 m/s. By how much does your watch differ from somebody measuring the time it took on the ground. (Strictly speaking we should worry about General Relativity in this problem so neglect the acceleration and deceleration and treat the problem as two observers, one stationary and one moving at 300 m/s.) (ii) GPS works by comparing clock ticks on atomic clocks on board satellites. The signals from GPS travel at the speed of light. To achieve a precision of 10m in your position, what precision do you need for the GPS clock? The international space statation is at a height of 370km above the earth and circles the earth 15.41 times per day. If you didn't take account of special relativity, how much would their calculated position, viewed from earth, be off after one day?
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