A $50kg$ block rests on a horizontal surface with a coefficient of kinetic friction ${}_k=0\mathrm{.}3.$ Find the magnitude of the normal force $N$ and the acceleration a if the block is subjected to a $400N$ force at $30$ as shown. Draw FBD $=KD,$ assume the acceleration acts horizontally in the positive $x-$direction.

$N=290\mathrm{.}5N$ and $a=5\mathrm{.}185\frac{m}{s^2}$

$N=490N$ and $a=9\mathrm{.}81\frac{m}{s^2}$

$N=490lb$ and $a=6f\frac{t}{s^2}$