A $29\mathrm{.}0$ cm long spring is hung vertically from a ceiling and stretches to $33\mathrm{.}7$ cm when a $7\mathrm{.}00$ kg mass is hung from its free end.

HINT

$($a$)$

Find the spring constant $($in N$/$m$).$

N$/$m

$($b$)$

Find the length of the spring $($in cm$)$ if the $7\mathrm{.}00$ kg weight is replaced with a $165$ N weight.

cm