Calculating Acceleration of a Mass in 2D Plane

[PhysicsCCR]

Homework Statement

Three forces in the x-y plane act on a 2.6 kg mass: 13.3 N directed at 65°, 7.6 N directed at 160 °, and 10.1 N directed at 236° . All angles are measured from the positive x-axis, with positive angles in the Counter-Clockwise direction. Calculate the magnitude of the acceleration.

Homework Equations

Fx = m*ax
Fy - m*ay
Newton's Second Law in the x and y direction, respectively.

The Attempt at a Solution

I drew a picture on a scratch piece of paper, calculated x and y components of each vector, and then added x and y components of the resultant. Solving for acceleration, I got ax = 1.688 m/s^2, and ay = 7.808 m/s^2.

How do I get the magnitude of the acceleration? Sorry for not being able to post my picture.

 

[PeterO]

Homework Statement

Three forces in the x-y plane act on a 2.6 kg mass: 13.3 N directed at 65°, 7.6 N directed at 160 °, and 10.1 N directed at 236° . All angles are measured from the positive x-axis, with positive angles in the Counter-Clockwise direction. Calculate the magnitude of the acceleration.

Homework Equations

Fx = m*ax
Fy - m*ay
Newton's Second Law in the x and y direction, respectively.

The Attempt at a Solution

I drew a picture on a scratch piece of paper, calculated x and y components of each vector, and then added x and y components of the resultant. Solving for acceleration, I got ax = 1.688 m/s^2, and ay = 7.808 m/s^2.

How do I get the magnitude of the acceleration? Sorry for not being able to post my picture.

You can probably add those two components - the reverse of the was you calculated the components of each Force.
Personally, I would have combined the final two components of the force to get a single net Force and then used F = ma, but it should give the same answer.