Two forces act on a $27\mathrm{.}0$ kg object floating in space. One force has magnitude of $16\mathrm{.}0$ N and acts in the positive y axis direction. The second force has a magnitude of $10\mathrm{.}2$ N and acts at an angle of $30\mathrm{.}0$ degrees below the x asis. $(1)$ Draw a free body diagrm of all forces acting on the object. $(2)$ Determine the magnitude and direction of the net force component along the x axis direction and y axis direction. $(3)$ Calculate the magnitude and direction of the net force and of the acceleration.