A long string carries a wave; a 5.20-m segment of the string contains four complete wavelengths and has a mass of 180 g. The string vibrates sinusoidally with a frequency of 40.0 Hz and a peak-to-valley displacement of 14.0 cm. (The "peak-to-valley" distance is the vertical distance from the farthest positive position to the farthest negative position.)
(a) Write the function that describes this wave traveling in the positive x direction. (Use the following as necessary: x and t. x is in meters and t is in seconds.)
(b) Determine the power being supplied to the string.