Answer
The kinetic energy depends on $~~\frac{1}{r}$
Work Step by Step
We can find an expression for the square of the speed:
$\frac{GMm}{r^2} = \frac{mv^2}{r}$
$v^2 = \frac{GM}{r}$
We can find an expression for the kinetic energy:
$K = \frac{1}{2}mv^2$
$K = \frac{GMm}{2r}$
The kinetic energy depends on $~~\frac{1}{r}$
