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).
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.