Question

A sailor strikes the side of his ship just below the surface of the sea. He hears the echo of the wave reflected from the ocean floor directly below 3.0 ss later.How deep is the ocean at this point? Assume the bulk modulus of water is Bwater=2.0×109N/m2. The density of sea water is 1.025×10³kg/m³ .

Express your answer to two significant figures and include the appropriate units.

Answer 1

To calculate the ocean depth using sonar, multiply the speed of sound in water (1450 m/s) by the time it takes for the sound to return (3.0 s) and divide by 2, resulting in a depth of 2175 meters.

Step-by-step explanation:

The student is asking about the use of sonar technology to determine the depth of the ocean. To calculate this depth, you need to use the time it takes for a sound wave to travel to the ocean floor and back to the ship, as well as the known speed of sound in seawater. The depth can be calculated using the formula: depth = (speed of sound in water) x (time for echo to return) / 2. Given the speed of sound in sea water is 1450 m/s, and the time for the sound to travel to the ocean floor and back is 3.0 seconds, the depth would be (1450 m/s * 3.0 s) / 2 = 2175 meters.