Question

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?

Answer 1

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,

                        $E_1=5.8E_2\\m_1=m_2 \\\omega_1=\omega_2$

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

                        $A=\sqrt\frac{2E}{k} \\k=m\omega^2$

• Here, for both the oscillation, k will be same.

• Thus, the ratio of amplitude will be,

                      $\frac{A_1}{A_2} =\sqrt{\frac{E_1}{E_2} } =\sqrt{\frac{5.8E_2}{E_2} } =2.41$

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

Learn more about simple harmonic motion here:

brainly.com/question/22422926

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