The G string on a guitar is 59 cm long and has a fundamental…

The G string on a guitar is 59 cm long and has a fundamental frequency of 196 Hz. A guitarist can play different notes by pushing the string against various frets, which changes the string’s length. The tenth fret from the neck gives F (349.23 Hz); the eleventh fret gives G sharp (415.3 Hz). How far apart are the tenth and eleventh frets?

Two blocks are connected by a rope. As shown in the figure,…

Two blocks are connected by a rope. As shown in the figure, one block hangs off the edge of a table and is connected via pulley to a 15-kg block resting on a ramp, which makes an angle 30 degrees with the horizontal. The table is arranged such that the rope pulls the block up the ramp. What is the mass of the block hanging off the table if it accelerates downwards at a rate of 1.3 m/s2?