Question

which wave is carrying the most energy?

Explanation:

Step1: Recall Wave Energy Relationship

The energy of a wave is related to its amplitude (height from rest position to peak/trough). The formula for wave energy (for mechanical waves like these) is proportional to the square of the amplitude, \( E \propto A^2 \). So a larger amplitude means more energy.

Step2: Compare Amplitudes of the Two Waves

Looking at the two waves: the top wave has a greater amplitude (taller peak and deeper trough) than the bottom wave. Since energy is proportional to the square of amplitude, the wave with the larger amplitude carries more energy.

Answer:

The top wave (the upper wave with the larger amplitude) is carrying the most energy.