Weighing a Bacterium Scientists are using tiny, nanoscale cantilevers 4 micrometers long and 500 nanometers wide--essentially miniature diving boards--as a sensitive way to measure mass. An example is shown in ( Eigure 1). The cantilevers oscillate up and down with a frequency that depends on the mass placed near the tip, and a laser beam is used to measure the frequency. A single E. coli bacterium was measured to have a mass of 800 femtograms = 8.00×10-16 kg with this device, as the cantilever oscillated with a frequency of 16.9 MHz Figure < 1 of 1 > Part A Treating the cantilever as an ideal, massless spring, find its effective force constant. Express your answer in newtons per meter. k= Submit V—| ΑΣΦΑ Provide Feedback 1 Request Answer ? N/m

Weighing a Bacterium Scientists are using tiny, nanoscale cantilevers 4 micrometers long and 500 nanometers wide--essentially miniature diving boards--as a sensitive way to measure mass. An example is shown in ( Eigure 1). The cantilevers oscillate up and down with a frequency that depends on the mass placed near the tip, and a laser beam is used to measure the frequency. A single E. coli bacterium was measured to have a mass of 800 femtograms = 8.00×10-16 kg with this device, as the cantilever oscillated with a frequency of 16.9 MHz Figure < 1 of 1 > Part A Treating the cantilever as an ideal, massless spring, find its effective force constant. Express your answer in newtons per meter. k= Submit V—| ΑΣΦΑ Provide Feedback 1 Request Answer ? N/m

Name: Item 12Weighing a Bacterium Scientists are using tiny, nanoscale cant
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Description: Item 12Weighing a Bacterium Scientists are using tiny, nanoscale cantilevers 4micrometers long and 500 nanometers wide--essentially miniature divingboards--as a sensitive way to measure mass. An example is shown in (Figure 1). The cantilevers oscill

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 39PQ: In the short story The Pit and the Pendulum by 19th-century American horror writer Edgar Allen Poe,...

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Item 9 Learning Goal: To learn the properties of logarithms and how to manipulate them when solving sound problems. The intensity of sound is the power of the sound waves divided by the area. on which they are incident. Intensity is measured in watts per square meter, or W/m². The human ear can detect a remarkable range of sound intensities. The quietest sound that we can hear has an intensity of 10-12 W/m², and we begin to feel pain when the intensity reaches 1 W/m². Since the intensities that matter to people in everyday life cover a range of 12 orders of magnitude, intensities are usually converted to a logarithmic scale called the sound intensity level 3, which is measured in decibels (dB). For a given sound intensity I, B is found from the equation B = (10 dB) log (1) where Io = 1.0 × 10-12 W/m². Part A What is the value of log (1,000,000)? Express your answer as an integer. ► View Available Hint(s) The logarithm of x, written log(x), tells you the power to which you would raise…
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