A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire. (a) calculate the average power carried by the wave. (b) what happens to the average power if the wave amplitude is halved?

Explanation

To solve the problem, we will follow the steps outlined in the video transcript and break them down for clarity.

### Step-by-Step Solution:

**Given Data:**
- Mass of the wire, \( m = 3.00 \, \text{g} = 3.00 \times 10^{-3} \, \text{kg} \)
- Length of the wire, \( L = 80.0 \, \text{cm} = 0.80 \, \text{m} \)
- Tension in the wire, \( T = 25.0 \, \text{N} \)
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