A $0\mathrm{.}32-$kg stone is held $1\mathrm{.}2$ m above the top edge of a water well and then dropped into it$.$ The well has a depth of $4\mathrm{.}8$ m$.$

$($a$)$ Taking

y $=0$

at the top edge of the well, what is the gravitational potential energy of the stone$$Earth system before the stone is released?

J

$($b$)$ Taking

y $=0$

at the top edge of the well, what is the gravitational potential energy of the stone$$Earth system when it reaches the bottom of the well?

J

$($c$)$ What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?

J