$$36.86 \mathbf { i } + 25.81 \mathbf { j }$$

Short Answer

$$36.86 \mathbf { i } + 25.81 \mathbf { j }$$
-Two forces, $\mathbf { F } _ { 1 }$ of magnitude 35 newtons $( \mathrm { N } )$ and $\mathbf { F } _ { 2 }$ of magnitude 55 newtons, act on an object at angles of $45 ^ { \circ }$ and $- 60 ^ { \circ }$ (respectively) with the positive $x$ -axis. Find the direction and magnitude of the resultant force; that is, find $\mathbf { F } _ { 1 } + \mathbf { F } _ { 2 }$ . Round the direction and magnitude to two decimal places.