Physic Labs

Problem 1

A sled of mass m=2.0, kgm=2.0,\,\mathrm{kg} starts from rest on a smooth ramp of length L=5.0, mL=5.0,\,\mathrm{m} at 30∘30^\circ to the horizontal. It enters a rough horizontal track with kinetic-friction coefficient μ=0.20\mu=0.20. Neglect air resistance and use g=9.8, m/s2g=9.8,\,\mathrm{m/s^2}. (a) Find acceleration and speed at the ramp bottom. (b) Find stopping distance on the horizontal track. (c) If that track is only 4.0, m4.0,\,\mathrm{m} long, does the sled stop before its edge? Keep the sign convention consistent and use appropriate SI units throughout. Each part builds on intermediate results from the preceding part; apply a physical relation only where the stated model assumptions hold. Finally compare the answers with the initial conditions, expected trends, and an independent check when available.
s=12.5 m>4.0 ms=12.5\,\mathrm m>4.0\,\mathrm m
problems.proof.analysis

Check against a limiting case, a stated condition, or an energy balance. A sound result must have the expected physical trend.