A spring is compressed $2\mathrm{.}0$cm by a force of $200.$ON$.(20$pts$)$

$)$ What is the spring constant of this spring in N$/$m$?$

$)$ How many millimeters would this spring compress under a force of $15$N$?$

$)$ A mass of $50\mathrm{.}0$kg is placed on the spring during an lunar experiment, where the gravitational acceleration is $0\mathrm{.}165$g$.$ What is the spring's constant in this particular case on the moon?

$)$ What is the spring's displacement during the lunar experiment in meters?