A light spring with spring constant $1\mathrm{.}25103$ N$/$m hangs from an elevated support. From its lower end hangs a second light spring, which has spring constant $1\mathrm{.}75103$ N$/$m$.$ A $1\mathrm{.}50-$kg object hangs at rest from the lower end of the second spring.

$($a$)$ Find the total extension distance of the pair of springs.

m

$($b$)$ Find the effective spring constant of the pair of springs as a system. We describe these springs as being in series. Hint: Consider the forces on each spring separately.

N$/$m