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## Homework Statement

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

## Homework Equations

SOHCAHTOA equations

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

cos(-65)*30.5=-12.89 N

Since the question only asks for the accerelation in the x direction, I got the following equation:

(-47.5 N+-12.89N)=m*a=5*a

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?

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