Interactive Solution 4.11 offers help in modeling this problem.
Two forces, vector F 1 and vector F 2, act on the 5.00 kg block shown in the drawing. The magnitudes of the forces are F1 = 30.5 N and F2 = 47.5 N. What is the horizontal acceleration (magnitude and direction) of the block?
link to picture (let me know if it works): http://www.webassign.net/CJ/04_11.gif
Newton's 2nd law: F=ma
The Attempt at a Solution
Because F1 is at an angle, I broke it up into its y and x components:
sin(-65)*30.5 = -27.6 N
Since the question only asks for the accerelation in the x direction, I got the following equation:
Then I solved for a and got 12.078 m/s^2 in the x direction. But the website of my homework is telling me this is wrong. help?