Here's why:
* Amplitude is the maximum displacement of a wave from its resting position. Think of it as the "height" of the wave.
* Energy is the capacity to do work. In a wave, energy is stored in the motion of the particles that make up the wave.
The more energy a wave carries, the greater the displacement of the particles, leading to a larger amplitude.
Think of it like this:
* A gentle breeze creates small ripples in a pond – a low-energy wave with a small amplitude.
* A strong wind creates large waves – a high-energy wave with a large amplitude.
This relationship applies to all types of waves, including sound waves, light waves, and water waves.