The ability to hear a “pin drop” is the sign of sensitive
hearing. Suppose a 0.45 g pin is dropped from a height of 29 cm ,
and that the pin emits sound for 1.5 s when it lands.

Assuming all of the mechanical energy of the pin is converted to
sound energy, and that the sound radiates uniformly in all
directions, find the maximum distance from which a person can hear
the pin drop. (This is the ideal maximum distance, but atmospheric
absorption and other factors will make the actual maximum distance
considerably smaller.)