question archive A research historian is interested in finding sunken treasure in the Atlantic Ocean
A research historian is interested in finding sunken treasure in the Atlantic Ocean
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A research historian is interested in finding sunken treasure in the Atlantic Ocean. She knows that her equipment is only good enough to recover items that are at a depth of 5 000 m or less. The speed of sound through the water is 1 530 m/s. While working, the sonar equipment detects a reflection that is of interest. The echo from the item takes 6.2 s to return to the sonar detector. Will she be able to retrieve this item?
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Answer:
She will retrieve the item since the sound reflects from the item at a depth 4743 m which is less than 5000m. Please rate it and if you have any difficulty in understanding please comment.
Step-by-step explanation
Speed of sound in water, V = 1530 m/s
In time t = 6.2 s the sound has traveled a distance,
d = V*t = 1530*6.2 m = 9486 m
Since the sound went under the water and returned back so the sound went under the water at a depth,
h = d/2 = 9486/2 m = 4743m <5000m
So she will retrieve the item.
