While sailing in the ocean a sailor sees a lighthouse, but doesn’t know how far away it is. The sailor anchors their boat and measures the inten- sity of the light. They then lift their achor and sail 500 m closer to the lighthouse, noting that the intensity is now double their previous mea- surement. Given that the lamp in the lighthouse remains at a constant power and is far enough away to be considered a point source, calculate how far the lighthouse is from the sailor’s initial position.

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 91AP: Galileo proposed measuring the speed of light by uncovering a lantern and having an assistant a...
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While sailing in the ocean a sailor sees a lighthouse, but doesn’t know
how far away it is. The sailor anchors their boat and measures the inten-
sity of the light. They then lift their achor and sail 500 m closer to the
lighthouse, noting that the intensity is now double their previous mea-
surement. Given that the lamp in the lighthouse remains at a constant
power and is far enough away to be considered a point source, calculate
how far the lighthouse is from the sailor’s initial position.
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