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).