2) Two light signals emitted from stars A and B are observed simultaneously in an observatory on Earth. We can consider Earth as the inertial observation frame. Both stars are located 3500 light-years away from Earth, but they are in opposite directions from Earth. According to an observer in an airplane flying from Earth towards B at a speed of 1200 km/h along a straight line from A to B: a) What is the duration between these signals in hours? b) Which of these signals is observed first?

2) Two light signals emitted from stars A and B are observed simultaneously in an observatory on Earth. We can consider Earth as the inertial observation frame. Both stars are located 3500 light-years away from Earth, but they are in opposite directions from Earth. According to an observer in an airplane flying from Earth towards B at a speed of 1200 km/h along a straight line from A to B: a) What is the duration between these signals in hours? b) Which of these signals is observed first?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 87AP: Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of...

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Review. A global positioning system (GPS) satellite moves in a circular orbit with period 11 h 58 min. (a) Determine the radius of its orbit. (b) Determine its speed. (c) The nonmilitary GPS signal is broadcast at a frequency of 1 575.42 MHz in the reference frame of the satellite. When it is received on the Earths surface by a GPS receiver (Fig. P38.41), what is the fractional change in this frequency due to time dilation as described by special relativity? (d) The gravitational blueshift of the frequency according to general relativity is a separate effect. It is called a blueshift to indicate a change to a higher frequency. The magnitude of that fractional change is given by ff=Ugmc2 where Ug is the change in gravitational potential energy of an objectEarth system when the object of mass m is moved between the two points where the signal is observed. Calculate this fractional change in frequency due to the change in position of the satellite from the Earths surface to its orbital position. (e) What is the overall fractional change in frequency due to both time dilation and gravitational blueshift? Figure P38.41
How fast would a muon have to be traveling relative to an observer for its lifetime as measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer?
A spacecraft zooms past the Earth with a constant velocity. An observer on the Earth measures that an undamaged clock on the spacecraft is ticking at one-third the rate of an identical clock on the Earth. What does an observer on the spacecraft measure about the Earth-based clocks ticking rate? (a) It runs more than three times faster than his own clock. (b) It runs three times faster than his own. (c) It runs at the same rate as his own. (d) It runs at one-third the rate of his own. (e) It runs at less than one-third the rate of his own.
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