Guitar string has a frequency of 440 Hz and a damping time of 2.2 sec. How many oscillations does the string make before the oscillation amplitude has decreased to half of the original value? If the initial amplitude of the guitar string was 1.9 mm, how large will be the amplitude after 2.1 sec, 4.2 sec, and 8.4 sec?

Identify the correct relation showing that the radius r of the orbit of a moon of a given planet can be determined from the radius r of the planet, the acceleration of gravity at the surface of the planet, and the time τ required by the moon to complete one full revolution about the planet. determine the acceleration of gravity at the surface of the planet jupiter knowing that r = 71 492 km and that t= 3.551 days and r= 670.9 × 10^3 km for its moon europa.