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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

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