Problem 1
A body of mass m starts from rest on a frictionless track and descends a vertical height H, then moves onto a rough horizontal surface with kinetic-friction coefficient μ. The horizontal surface is long enough for the body to stop; take g=9.8 m/s² and neglect other resistance. (a) Find the speed on reaching the horizontal using mechanical-energy conservation. (b) Find friction and acceleration on the horizontal. (c) Determine stopping distance s using kinematics and confirm by work–energy. Use SI units throughout and treat components as ideal exactly as specified. State sign conventions when writing equations and retain units in final results.
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problems.proof.analysis
Substitute the established relation and isolate the requested quantity. Keep the physical solution consistent with the initial conditions and assumptions.