The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a spring is inversely proportional to the square root of m. a. Write an equation describing the relationship. Use k as the proportionality coefficient. Edit b. If a mass of 0.25 kg attached to a spring makes six oscillations per second, find the constant of proportionality, k. Hz kg1/2 c.Find the number of oscillations per second made by a mass of 0.01 kg that is attached to the spring discussed in part (b) F(0.01) Hz

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
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The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a spring is inversely proportional to the square root of m.
a. Write an equation describing the relationship. Use k as the proportionality coefficient.
Edit
b. If a mass of 0.25 kg attached to a spring makes six oscillations per second, find the constant of proportionality, k.
Hz kg1/2
c.Find the number of oscillations per second made by a mass of 0.01 kg that is attached to the spring discussed in part (b)
F(0.01)
Hz
Transcribed Image Text:The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a spring is inversely proportional to the square root of m. a. Write an equation describing the relationship. Use k as the proportionality coefficient. Edit b. If a mass of 0.25 kg attached to a spring makes six oscillations per second, find the constant of proportionality, k. Hz kg1/2 c.Find the number of oscillations per second made by a mass of 0.01 kg that is attached to the spring discussed in part (b) F(0.01) Hz
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