CAIE M1 2016 November — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2016
SessionNovember
TopicVectors Introduction & 2D

3
\includegraphics[max width=\textwidth, alt={}, center]{221f995d-2ef2-4be8-935b-49f8acf1cbe0-2_317_1104_1050_518} A boat is being pulled along a river by two people. One of the people walks along a path on one side of the river and the other person walks along a path on the opposite side of the river. The first person exerts a horizontal force of 60 N at an angle of \(25 ^ { \circ }\) to the direction of the river. The second person exerts a horizontal force of 50 N at an angle of \(15 ^ { \circ }\) to the direction of the river (see diagram).
  1. Find the total force exerted by the two people in the direction of the river.
  2. Find the magnitude and direction of the resultant force exerted by the two people.