AQA M1 2015 June — Question 3 4 marks

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2015
SessionJune
Marks4
TopicNewton's laws and connected particles

3 A ship has a mass of 500 tonnes. Two tugs are used to pull the ship using cables that are horizontal. One tug exerts a force of 100000 N at an angle of \(25 ^ { \circ }\) to the centre line of the ship. The other tug exerts a force of \(T \mathrm {~N}\) at an angle of \(20 ^ { \circ }\) to the centre line of the ship. The diagram shows the ship and forces as viewed from above.
\includegraphics[max width=\textwidth, alt={}, center]{01338c87-302c-420f-a473-39b0796ccaed-06_279_844_539_664} The ship accelerates in a straight line along its centre line.
  1. \(\quad\) Find \(T\).
  2. A resistance force of magnitude 20000 N directly opposes the motion of the ship. Find the acceleration of the ship.
    [0pt] [4 marks]
    \includegraphics[max width=\textwidth, alt={}]{01338c87-302c-420f-a473-39b0796ccaed-06_1419_1714_1288_153}