# Three Forces

1. Feb 22, 2012

### PhysicsCCR

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

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.

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

3. 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.

2. Feb 22, 2012

### PeterO

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.