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.
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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
- Find the energy lost as Martin slides from \(A\) to \(B\).
6 - Assume that a resistance force of constant magnitude acts on Martin while he is moving on the slide.
6
- Show that the magnitude of this resistance force is approximately 270 N
6
- (ii) Determine if Martin reaches the point \(C\).