A guitar player can change the frequency of a string by “bending” it—pushing it along a fret that is perpendicular to its length. This stretches the string, increasing its tension and its frequency. The G string on a guitar is 64 cm long and has a tension of 74 N. The guitarist pushes this string down against a fret located at the center of the string, which gives it a frequency of 392 Hz. He then bends the string, pushing with a force of 4.0 N so that it moves 8.0 mm along the fret. What is the new frequency?