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A block starts from rest and slides down a smooth incline, descending…
Question
A block starts from rest and slides down a smooth incline, descending a vertical height of 2.5 m, then continues onto a rough horizontal floor where the coefficient of kinetic friction is 0.50. It finally comes to rest on the horizontal floor. Taking g = 10 m/s^2 and treating the junction as smooth, find the distance (in metres) the block travels on the horizontal floor before stopping.
✓ Verified answer: 5checked by our engine — not a guess
Step-by-step solution
All gravitational PE lost on the smooth incline becomes KE at the bottom: (1/2) m v^2 = m g h.
On the rough floor, friction work removes this KE: mu m g L = m g h.
Hence L = h/mu = 2.5/0.5 = 5 m.
(The mass cancels.)
Final answer5
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