Hans stands that the rim of the Grand Canyon and yodels down to the bottom. He hears his echo back from the Canyon floor 5.20 seconds later. Assume that the speed of sound in air is 340.0 m/s. How deep is the canyon at this location?

Question

Physics

Tessa Wise

10 July, 04:38

Hans stands that the rim of the Grand Canyon and yodels down to the bottom. He hears his echo back from the Canyon floor 5.20 seconds later. Assume that the speed of sound in air is 340.0 m/s. How deep is the canyon at this location?

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Answers (1)

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Beatrice Calhoun · Answer 1

The canyon is 884 meter deep at this location

Explanation:

Step 1: Data given

He hears his echo back from the Canyon floor 5.20 seconds later. (t = 5.20s)

Speed of sound in air is 340.0 m/s

Step 2: Calculate time echo reaches the bottom

Time the echo reaches bottom + time echo reaches top = 5.20 seconds

So the time the echo needs to reach the bottom = (5.20/2) seconds

Step 3: Calculate the distance

Distance = velocity * time

X = 340.0 m/s * (5.20/2) seconds

X = 884 meters

The canyon is 884 meter deep at this location