Moderate -0.3 This is a straightforward mechanics problem requiring resolution of forces on a slope, application of F=ma with friction, and use of constant acceleration equations. While it involves multiple steps (resolving perpendicular to find normal reaction, calculating friction force, finding net force down slope, then using kinematics), these are all standard procedures that follow a well-established method for this topic type. The small coefficient of friction and given initial velocity add minor computational complexity but no conceptual difficulty.
1 A straight ice track of length 50 m is inclined at \(14 ^ { \circ }\) to the horizontal. A man starts at the top of the track, on a sledge, with speed \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). He travels on the sledge to the bottom of the track. The coefficient of friction between the sledge and the track is 0.02 . Find the speed of the sledge and the man when they reach the bottom of the track.
1 A straight ice track of length 50 m is inclined at $14 ^ { \circ }$ to the horizontal. A man starts at the top of the track, on a sledge, with speed $8 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. He travels on the sledge to the bottom of the track. The coefficient of friction between the sledge and the track is 0.02 . Find the speed of the sledge and the man when they reach the bottom of the track.
\hfill \mbox{\textit{CAIE M1 2013 Q1 [4]}}