Standard +0.3 This is a standard M1 friction problem requiring resolution of forces on an inclined plane, application of F=μR, and use of equations of motion or energy methods. While it involves multiple steps (finding acceleration from kinematics, resolving forces parallel and perpendicular to plane, solving for μ), these are all routine techniques practiced extensively in M1. The 9-mark allocation reflects the working required rather than conceptual difficulty.
A lifeboat slides down a straight ramp inclined at an angle of \(15°\) to the horizontal. The lifeboat has mass 800 kg and the length of the ramp is 50 m. The lifeboat is released from rest at the top of the ramp and is moving with a speed of 12.6 m s\(^{-1}\) when it reaches the end of the ramp. By modelling the lifeboat as a particle and the ramp as a rough inclined plane, find the coefficient of friction between the lifeboat and the ramp. [9]
A lifeboat slides down a straight ramp inclined at an angle of $15°$ to the horizontal. The lifeboat has mass 800 kg and the length of the ramp is 50 m. The lifeboat is released from rest at the top of the ramp and is moving with a speed of 12.6 m s$^{-1}$ when it reaches the end of the ramp. By modelling the lifeboat as a particle and the ramp as a rough inclined plane, find the coefficient of friction between the lifeboat and the ramp. [9]
\hfill \mbox{\textit{Edexcel M1 2013 Q4 [9]}}