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.
problems.proof.stepOf
problems.proof.analysis
First identify the system, given quantities, and sign convention; this determines what is conserved or acts on the body. The stated idealizations exclude unmentioned forces or effects.