US Halliday, Fundamentals of Physics, 10e CALC PHYS (P Practice Assignment Grade
ID: 1614503 • Letter: U
Question
US Halliday, Fundamentals of Physics, 10e CALC PHYS (P Practice Assignment Gradebook ORION gnment MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION Chapter 17, Problem 007 Your answer is partially correct. Try again. A stone is dropped into a well. The sound of the splash is heard 3.66 s later. What is the depth of the well? (Take the speed of sound to be 343 m/s.) Number Use correct number of significant digits; the tolerance is +/-1 in the 3rd signficant digit Question Attempts: Unlimited SAVE FOR LATER SUBMIT Coprright o 2000-2017 by 3ohn Wiley & Sons, Inc. or related companies. All rights reserved l S2000-2012 2ehn Miler sens une All Rights Reserved. A Division of lohn wiltr asenseuneExplanation / Answer
Total time taken
t = t1 + t2
t1 = time taken by rock to fall in bottom
t2 = time taken by sound to travel up
Assuming depth of wall = h
h = ut + 0.5*g*t1^2
t1 = sqrt (2*h/g)
Also,
Vs*t2 = h
t2 = h/Vs
So,
sqrt (2h/g) + h/Vs = 3.66
sqrt (2*h/9.81) + h/343 = 3.66
2*h/9.81 = (3.66 - h/343)^2
Solving above equation
h = 59.61 m
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