Serway & Jewett — The Laws of Motion: Problem 20

An object of mass \( m = 1.00 \text{ kg} \) is observed to have an acceleration \(\vec{a}\) with a magnitude of \( 10.0 \text{ m/s}^2 \) in a direction \( 60.0^\circ \) east of north. Figure P5.20 shows a view of the object from above. The force \(\vec{F}_2\) acting on the object has a magnitude of \( 5.00 \text{ N} \) and is directed north. Determine the magnitude and direction of the one other horizontal force \(\vec{F}_1\) acting on the object.