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.
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a1=4.9 m/s2, v1=7.0 m/s, s=12.5 m; no stop before edge\boxed{a_1=4.9\,\mathrm{m/s^2},\ v_1=7.0\,\mathrm{m/s},\ s=12.5\,\mathrm m;\text{ no stop before edge}}
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Collect answers to every part, including signs, directions, and image or process properties where relevant. Dimensions match the physical quantities.