OCR M1 2009 June — Question 1

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2009
SessionJune
TopicVectors Introduction & 2D

1
\includegraphics[max width=\textwidth, alt={}, center]{57725055-7bce-4ad0-bb1c-59d07d56e2bd-2_462_305_274_918} Two perpendicular forces have magnitudes \(x \mathrm {~N}\) and \(3 x \mathrm {~N}\) (see diagram). Their resultant has magnitude 6 N .
  1. Calculate \(x\).
  2. Find the angle the resultant makes with the smaller force.