AQA Further AS Paper 2 Mechanics 2019 June — Question 6

Exam BoardAQA
ModuleFurther AS Paper 2 Mechanics (Further AS Paper 2 Mechanics)
Year2019
SessionJune
TopicWork, energy and Power 1

6 In this question use \(g = 9.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) Martin, who is of mass 40 kg , is using a slide.
The slide is made of two straight sections \(A B\) and \(B C\).
The section \(A B\) has length 15 metres and is at an angle of \(50 ^ { \circ }\) to the horizontal.
The section \(B C\) has length 2 metres and is horizontal.
\includegraphics[max width=\textwidth, alt={}, center]{86bfb16f-4df3-4105-8343-e8c4ae862f27-08_389_702_630_667} Martin pushes himself from \(A\) down the slide with initial speed \(1 \mathrm {~ms} ^ { - 1 }\) He reaches \(B\) with speed \(5 \mathrm {~ms} ^ { - 1 }\) Model Martin as a particle.
6
  1. Find the energy lost as Martin slides from \(A\) to \(B\).
    6
  2. Assume that a resistance force of constant magnitude acts on Martin while he is moving on the slide. 6
    1. Show that the magnitude of this resistance force is approximately 270 N
      6
  3. (ii) Determine if Martin reaches the point \(C\).