the graphs below represent two waves. the waves are traveling at the same speed through the same…

Explanation:

Step1: Recall the relationship between wave energy and amplitude

The energy transmitted by a wave is proportional to the square of its amplitude ($E\propto A^{2}$).

Step2: Determine the amplitudes of the two waves

For the first wave, the maximum displacement from the equilibrium position (amplitude) is $A_1 = 8$ cm. For the second wave, the amplitude $A_2$ is less than $8$ cm (by visual inspection of the graphs, the first wave reaches a higher peak).

Step3: Compare the energies

Since $E\propto A^{2}$ and $A_1>A_2$, the wave with the larger amplitude (the first wave) transmits more energy per second.

Answer:

The first wave transmits more energy per second.