Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

If one oscillation has 5. 8 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes?

Sagot :

tanisharawat014

The ratio of their amplitudes will be 2.41.

To find the answer, we have to know more about the simple harmonic motion.

How to find the ratio of their amplitudes?

  • It is given that,

                        [tex]E_1=5.8E_2\\m_1=m_2 \\\omega_1=\omega_2[/tex]

  • We have the relation between these quantities and amplitudes as,

                        [tex]A=\sqrt\frac{2E}{k} \\k=m\omega^2[/tex]

  • Here, for both the oscillation, k will be same.
  • Thus, the ratio of amplitude will be,

                      [tex]\frac{A_1}{A_2} =\sqrt{\frac{E_1}{E_2} } =\sqrt{\frac{5.8E_2}{E_2} } =2.41[/tex]

Thus, we can conclude that, the ratio of their amplitudes will be 2.41.

Learn more about simple harmonic motion here:

https://brainly.com/question/22422926

#SPJ4

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.