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Textbooks / Physics / Physics: Principles with Applications 6 / Chapter 11 / Problem 17P

(II) A balsa wood block of mass 52 g floats on a lake,

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli ISBN: 9780130606204 3

Solution for problem 17P Chapter 11

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 17P

Problem 17P

(II) A balsa wood block of mass 52 g floats on a lake, bobbing up and down at a frequency of 3.0 Hz. (3) What is the value of the effective spring constant of the water? (6) A partially filled water bottle of mass 0.28 kg and almost the same size and shape of the balsa block is tossed into the water. At what frequency would you expect the bottle to bob up and down? Assume SHM.

Step-by-Step Solution:
Step 1 of 3

Solution 17P

Balsa wood weight is 52 gm. Frequency is 3.0 Hz

Assume S.H.M. f =

Spring constant of water is ‘k’ = f^2*m = 3*3*52 = 468 gm /sec^2

 A bottle of same shape and size with weight of .28 Kg is put in water. What is the frequency?

Use f =

k = 468 gm/ sec^2

m = .28 kg = 280 gm

So f = (468/280) ^ 0.5 = 1.2928 ~ 1.3 Hz

   

Step 2 of 3

Chapter 11, Problem 17P is Solved
Step 3 of 3

Textbook: Physics: Principles with Applications
Edition: 6
Author: Douglas C. Giancoli
ISBN: 9780130606204

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