Gravitational waves weré first detected in 2015, using the LIGO detectors at Livingston, Louisiana, and Hanford, Washington. The gravitational waves, propagating as plane waves, reached the Livingston detector 7.0 ms before they reached Hanford. (a) Did the waves come from the southern or northern hemisphere of the sky? (b) Estimate the straight-line distance between Livingston and Hanford and, using the fact that gravitational waves propa-

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75. Gravitational waves weré first detected in 2015, using the LIGO
detectors at Livingston, Louisiana, and Hanford, Washington.
The gravitational waves, propagating as plane waves, reached the
Livingston detector 7.0 ms before they reached Hanford. (a) Did
the waves come from the southern or northern hemisphere of the
sky? (b) Estimate the straight-line distance between Livingston
and Hanford and, using the fact that gravitational waves propa-
gate at the speed of light, find the approximate angle between the
direction of the waves' propagation and the Livingston-Hanford
line. Knowing this angle helped LIGO scientists to determine an
approximate location of the source.
Transcribed Image Text:75. Gravitational waves weré first detected in 2015, using the LIGO detectors at Livingston, Louisiana, and Hanford, Washington. The gravitational waves, propagating as plane waves, reached the Livingston detector 7.0 ms before they reached Hanford. (a) Did the waves come from the southern or northern hemisphere of the sky? (b) Estimate the straight-line distance between Livingston and Hanford and, using the fact that gravitational waves propa- gate at the speed of light, find the approximate angle between the direction of the waves' propagation and the Livingston-Hanford line. Knowing this angle helped LIGO scientists to determine an approximate location of the source.
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