A $2\mathrm{.}75-$g copper coin at $15\mathrm{.}0$C drops $55\mathrm{.}0$ m to the ground.

$($a$)$ Assuming $65\mathrm{.}0\%$ of the change in gravitational potential energy of the coin$$Earth system goes into increasing the internal energy of the coin, determine the coin's final temperature.

$$C

$($b$)$ Does the result depend on the mass of the coin?

YesNo$$