Answered: A cork on the surface of a pond bobs up…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 12CQ: If you drop a pebble in a pond you may notice that several concentric ripples are produced, not just...

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Question

A cork on the surface of a pond bobs up and down two times per second on ripples having a wavelength of 7.10 cm. If the cork is 10.5 m from shore, how long does it take a ripple passing the cork to reach the shore?
s

Expert Solution

Step 1

Given data:

The rate of cork on the surface of the pond bobs is,

f = 2 bobs/sec

Wavelength is,

$λ$ = 7.10 cm=0.071 m

The distance of the cork from the shore is,

d= 10.5 m

Formula used:

The velocity of the object in terms of its wavelength is,

$v = f λ$

From the basic kinematics, the relation between distance , velocity and time is,

$Velocity = \frac{Distance}{Time} v = \frac{d}{t}$

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