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## Homework Statement

Forces of 10 N north and 20 N east are simultaneously applied to a 10-kg object as it rests on a frictionless horizontal table. What is the magnitude of the object's acceleration?

## Homework Equations

[tex]a = \frac {F_{net}}{m}[/tex]

## The Attempt at a Solution

[tex]a_{north} = \frac {10}{10} = 1 \; m/s^2[/tex]

[tex]a_{east} = \frac {20}{10} = 2 \; m/s^2[/tex]

[tex]a_{northeast} = \sqrt{1^2+2^2} = 2.24 \; m/s^2[/tex]

[tex]magnitude = tan^{-1}(1/2) = 26.57 ^\circ \; northeast ?[/tex]

Not sure if this is correct, but this is my guess.