Only two forces act on an object. Find the magnitudeand direction (relative to the x axis) of the acceleration of the object.
Mass=3.0kg
F1=40.0 N due east
F2=60 N, 45 degrees North of east

The answer is:
30.9 m/s 2, 27.2 deg above the x axis
How do I get this answer?

Question

Only two forces act on an object. Find the magnitudeand direction (relative to the x axis) of the acceleration of the object.
Mass=3.0kg
F1=40.0 N due east
F2=60 N, 45 degrees North of east

The answer is:
30.9 m/s 2,  27.2 deg above the x axis
How do I get this answer?

anonymous · Answer

60(cos45) and 60(sin45) are both 42.4 
Total X is 82.4 
Total Y is 42.4 
Is this correct so far?

anonymous · Answer

yes it is :)
I'm surprised that no one has confirmed that.

anonymous · Answer

what do I do next?

anonymous · Answer

Net force=$\sqrt(F_x^{2}+F_y^{2})$

anonymous · Answer

$$\large tan\theta=\frac{F_y}{F_x}$$