Chapter 5, Problem 2P

Two horizontal forces act on a 2.0 kg chopping block that can slide over a frictionless kitchen counter, which lies in an xy plane. One force is ${\stackrel{\to }{F}}_1=\left(3.0\text{ N}\right)\hat{i} +\left(4.0\text{ N}\right)\hat{j}$. Find the acceleration of the chopping block in unit-vector notation when the other force is (a) ${\stackrel{\to }{F}}_2=\left(-3.0\text{ N}\right)\hat{i} +\left(-4.0\text{ N}\right)\hat{j}$, (b) ${\stackrel{\to }{F}}_2=\left(-3.0\text{ N}\right)\hat{i} +\left(4.0\text{ N}\right)\hat{j}$, and (c) ${\stackrel{\to }{F}}_2=\left(-3.0\text{ N}\right)\hat{i} +\left(-4.0\text{ N}\right)\hat{j}$.