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(1I) A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.0s later. How high is the cliff?

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$\mathrm{d}=41 \mathrm{m}$

Physics 101 Mechanics

Chapter 16

Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

McMaster University

Lectures

08:15

In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can only hear sound waves as distinct pitches when the frequency lies between about 20 Hz and 20 kHz. Sound above 20 kHz is known as ultrasound and has different physical properties from sound below 20 kHz. Sound waves below 20 Hz are called infrasound. Different species have different hearing ranges. In terms of frequency, the range of ultrasound, infrasound and other upper limits is called the ultrasound.

04:49

In physics, a traveling wave is a wave that propogates without a constant shape, but rather one that changes shape as it moves. In other words, its shape changes as a function of time.

05:52

(II) A stone is dropped fr…

05:47

A stone is dropped from th…

02:57

06:24

02:11

00:43

(I) A stone is dropped fro…

01:39

00:59

02:42

03:17

(1) A diver running 1.8 $\…

00:57

A water balloon is dropped…

01:09

A cliff diver hits the wat…

05:11

06:42

01:37

(1) A diver running 2.3 $\…

05:09

(III) A rock is dropped fr…

09:18

bonus dropped off the clip. A splash signed is heard after. Ah, this stone hits the water. Ah, sports scientist heard here. And then we're asked to find what is the height off this cliff? So what's the height? Which were must to find each, uh, we confined etch from Newton's equation off motion. Um, the total time it took for ah, for splash to hurt these three seconds. Um, so we can use Newton's second encouraging the motion. And then from there, we can find the height. So the height is equal to, um, the initial last. He will be zero. So the height will be one or two. Uh, g t square. Now, this is the time, uh, for a stone to go down. So I would like to de year, um, to make it things easier. So the total time tea will be equal to the total time. Ah, for sound to come up, which is d d up. Plus the time took for a stone to go down, which is t down. So this is that tea that I wrote it here. Then we can write same height in terms off there of velocity off a sound times of the diamond took to come up with this t up then from here, we can plug the value of 30 down using in this equation. Then our tea down will become t capital minus t up so t up. I will pluck this value here, pluck this value and rewrite this equation here. So I was right to disagree in here. So our actual become it will become half off. Murph off. Oh, G do you down? It's a t minus t up. T up d up whole square. And we can substitute t up from this equation in terms of height and yes. So our this equation transforms into, um, t capital minus t up is, uh, h or V s. Hold square. Now we can write this. Ah, I quit equation with EJ um, there's aquatic equation which becomes, which becomes ed square minus two times off lost year for sound or speed of sound. Um, speed of sound or G g plus kept lt into Etch plus t square, the speed of sound square that is equal to zero. So our this equation becomes a quality key equation. Now we can plug the speed of sound here we can put the value off Jeker Additional insulation capital tease the three seconds or here you have three seconds. Then the solution we get here for rich or two values which are two of six 0 28 meters and the 41 meters run 41 meters. Ah, this solution which is Ah 260 to 8 meters is a high value. It's a huge value, so a stone cannot travel this much distance in three seconds. So the only acceptable solution we have is 41 meter. So the height of cliff is 41 meter end off the problem there.

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