In this question use g=9.8 m s−2g = 9.8 \text{ m s}^{-2}g=9.8 m s−2. A scientific payload of mass 40 kg40 \text{ kg}40 kg is being tested on a rough inclined trackway that is 20 m20 \text{ m}20 m long and makes an angle of 25∘25^\circ25∘ with the horizontal. The origin, point OOO, is located at the foot of the trackway.
A payload is initially at rest at point AAA on the trackway. A winch line, kept parallel to the trackway, pulls the payload directly up the slope.
When the tension in the winch line is 320 N320 \text{ N}320 N, the payload is observed to accelerate up the slope at 1.2 m s−21.2 \text{ m s}^{-2}1.2 m s−2. Calculate the coefficient of friction, μ\muμ, between the payload and the trackway surface.
The payload takes 3.5 seconds3.5 \text{ seconds}3.5 seconds to reach the top of the trackway. Determine the distance OAOAOA.
Other than air resistance, state one assumption you have made about the payload in answering part (b)(i).
Practise Edexcel A Level Maths Applications of Forces with exam-style questions for A Level Maths. 47 questions covering Static Particles, Modelling with Statics, Friction and Static Particles, Static Rigid Bodies, Dynamics and Inclined Planes, and Connected Particles 2, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.