Question

calvin smiths practice
l.4 compare energy of waves
get 6 correct in a row
which wave transmits more energy per second?
wave 1
not ready yet?

Explanation:

Step1: Recall the relationship between wave energy and amplitude

The energy transmitted by a wave per second is proportional to the square of its amplitude. Mathematically, \( E\propto A^{2} \), where \( E \) is the energy and \( A \) is the amplitude.

Step2: Determine the amplitudes of the two waves

For Wave 1: The amplitude \( A_1 = 4\space cm \) (measured from the equilibrium position to the crest or trough).
For Wave 2: The amplitude \( A_2= 9\space cm \) (measured from the equilibrium position to the crest or trough).

Step3: Compare the energies

Since \( E\propto A^{2} \), for Wave 1, \( E_1\propto4^{2}=16 \). For Wave 2, \( E_2\propto9^{2} = 81 \).

Answer:

Wave 2 transmits more energy per second.