A sinusoidal wave travels down a taut, horizontal string with a linear mass density of$$

$=0\mathrm{.}040$kg$/$m$.$

$$The maximum vertical speed of the wave is$$

vy$$max$=0\mathrm{.}40$cm$/$s$.$

$$The wave is modeled with the wave equation$$

y$($x$,$t$)=$A$$sin$(5\mathrm{.}00$m$1$x$25\mathrm{.}00$s$1$t$).$

$($a$)$

What is the amplitude of the wave $($in cm$)?$

$$cm

$($b$)$

What is the tension in the string $($in N$)?$