Name: Angela KIN Student ID: Quiz 4 [30 mins]. If constants like ir or roots of natural numbers appear, leave them as such. No need to use a calculator (but you are free to do so). 1. You want to make a guitar string from a mass of 5.0 g and length 1.0 m. In use, the guitar string can withstand a maximum tension of 5.0 x 103 N. Assuming that the entire length of the string is free to vibrate, determine the highest possible fundamental frequency of standing waves on this string. [4] 2. Standing waves on a wire of length 2.0 m are described by y(x,t)=A sin(kx) sin(wt), with A= 2.00 mm, w= 1000 rad/s, and k= i rad/m. The left end of the wire is at x= 0. At what distances from the left end are the two antinodes of the standing wave? [4] 3. A large rock of mass 01 kg and density 3000 kg/m3 is suspended from the lower end of a thin wire of length 2.0 m. The mass of the wire is small enough that its effect on the tension in the wire can be neglected. The upper end of the wire is fixed. When the rock is in the air, the fundamental frequency for transverse standing waves on the wire is f. When the rock is totally submerged in water (density 1000 kg/m3) with the top of the rock just below the surface, what is the fundamental frequency for the wire in terms of f? [4] (Useful formulae: y(x, t) = A cos(kx + wt + 4); v = \\F / M) T