Answer
The acceleration of the block is $~3.7~m/s^2$
Work Step by Step
We can find the acceleration of the block:
$\sum F = ma$
$mg~sin~\theta-mg~cos~\theta~\mu_k = ma$
$a = g~(sin~\theta-\mu_k~cos~\theta)$
$a = (9.80~m/s^2)~(sin~53^{\circ}-(0.70)~cos~53^{\circ})$
$a = 3.7~m/s^2$
The acceleration of the block is $~3.7~m/s^2$.
