Select all the correct statements.

As you lower a bucket into a well using a rope, you do negative work.

For an object falling, the initial gravitational potential energy is always fully converted into kinetic energy.

It takes the same amount of work to stretch a spring from $x$ to $2x$ as it takes to stretch is from $2x$ to $3x($with respect to the natural, relaxed length$).$

Work done by the force of gravity can be zero.

$\frac{(\text{:}P\text{:})}{(\text{:}p\text{:})}=($:$v$:$)$