Two forces act on a puck on a frictionless air table: east and north

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Two forces act on a puck on a frictionless air table:

\vec F_{1}=50\,\text{N}

east and

\vec F_{2}=80\,\text{N}

north. The puck is observed to continue moving with constant velocity. Which of the following is the magnitude and direction of a third force

\vec F_{3}

that must also be acting on the puck? (a)

94\,\text{N}

directed

32^{\circ}

south of west (b)

94\,\text{N}

directed

58^{\circ}

south of west (c)

94\,\text{N}

directed

58^{\circ}

north of east (d)

130\,\text{N}

directed due south