Answer
The total mass of the wire is 49.6 grams.
Work Step by Step
We can find the wave speed in the wire:
$v = \lambda~f$
$v = 2L~f$
$v = (2)(2.0~m)(27.5~Hz)$
$v = 110~m/s$
We can find the mass of the wire:
$v = \sqrt{\frac{F}{m/L}}$
$v = \sqrt{\frac{F~L}{m}}$
$v^2 = \frac{F~L}{m}$
$m = \frac{F~L}{v^2}$
$m = \frac{(300.0~N)(2.0~m)}{(110~m/s)^2}$
$m = 0.0496~kg$
$m = 49.6~g$
The total mass of the wire is 49.6 grams.
