2. 0/2 points | Previous Answers Tipler6 2.P.057 My Notes A submarine can use so

Question

2. 0/2 points | Previous Answers Tipler6 2.P.057 My Notes A submarine can use sonar (sound traveling through water) to determine its distance from other objects. The time between the emission of a sound palse (a "ping") and the detection of its echo can be used to determine such distances. Alternatively, by measuring the time between successive echo receptions of a regularly timed set of pings, the submarine's speed may be determined by comparing the time between pings. Assume you are the sonar operator in a submarine traveling at a constant velocity underwater. Your boat is in the eastern Mediterranean Sea, where the speed of sound is known to be 1522 m/s. If you sent out pings every 5.30 s, and your apparatus receives echoes reflected from an undersea cliff every 5.27 s, how fast is your submarine approaching the cliff? 4.32 X m/s

Explanation / Answer

Answer:

Let us go to the basics first.

The difference between the send and receive time, dt = 5.30 - 5.27 = 0.03 s

So, the distance = speed of sound * dt

=>distance = 1522*0.03 = 45.66 m

So, speed of submarine approaching the cliff = distance / echo receive time

=>speed = 45.66 / 5.27 = 8.664 m/s (Answer)

Thanks!!!

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