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1. The problem statement, all variables and given/known data

Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 9.0 N, acting due east, and the other is 7.7 N, acting 54° north of west. What is the magnitude of the body's acceleration?

2. Relevant equations

I know that in order to get net force, you would need to add all force vectors in the x and y direction giving you total forces in x direction then total forces in y direction. Then I would use the equation given by Newton's second law F (net)=m*a (net)

3. The attempt at a solution

I set up a drawing showing the 9.0N force in the east direction on the x axis, then the 7.7N force in the west direction 54 degrees above the x axis. I added all vectors in the x direction getting 9.0N + 7.7N*sin(54) which equals 15.229N in x direction. Then I added all vectors in y direction getting 0N + 7.7N*cos(54) which equals 4.256N in the y direction. After this, i used F=m*a to get acceleration in both x and y directions. This assignment uses web-assign (on-line pragram) which gives you 5 attempts at a solution before it counts it wrong. This assignment counts for a test grade and I'm on my final attempt. Any guidance or help would be greatly appreciated! Thanks in advance.....

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# Homework Help: Magnitude of acceleration problem

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