Edexcel M1 2017 October — Question 4

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2017
SessionOctober
TopicNewton's laws and connected particles

4. Two forces \(\mathbf { F } _ { 1 }\) and \(\mathbf { F } _ { 2 }\) act on a particle. The force \(\mathbf { F } _ { 1 }\) has magnitude 8 N and acts due east. The resultant of \(\mathbf { F } _ { 1 }\) and \(\mathbf { F } _ { 2 }\) is a force of magnitude 14 N acting in a direction whose bearing is \(120 ^ { \circ }\). Find
  1. the magnitude of \(\mathbf { F } _ { 2 }\),
  2. the direction of \(\mathbf { F } _ { 2 }\), giving your answer as a bearing to the nearest degree.