Two children stretch a jump rope between them and send wave pulses back and forth on it$.$ The rope is $3\mathrm{.}7$ m long, its mass is $0\mathrm{.}48$ kg$,$ and the force exerted on it by the children is $45$ N$.$

$($a$)$

What is the linear mass density of the rope $($in kg$/$m$)?$

kg$/$m

$($b$)$

What is the speed of the waves on the rope $($in m$/$s$)?$

m$/$s