A ping$-$pong ball weighs $0\mathrm{.}025$ N$.$ The ball is attached inside a cup that sits on top of a vertical spring.$$ If the spring is compressed $0\mathrm{.}055$ m and released, the maximum height above the compressed position that the ball reaches is $2\mathrm{.}84$ m$.$ Neglect air resistance and determine the spring constant.

Hint: Use expression for the elastic potential energy and gravitational potential energy, then use conservation of energy

$$

A$.$

$47$ N

B$.$

$11$ N

C$.$

$24$ N

D$.$

$5\mathrm{.}2$ N