Physic Labs

Problem 1

Two masses m1>m2m_1>m_2 are connected by a massless inextensible string over an ideal pulley. Released from rest, with friction neglected and constant gg, find the acceleration, string tension, and speed after the heavier mass descends distance ss. Model each stage with the appropriate conservation law or equation of motion; quantities stated as constant remain fixed during that stage. (a) Establish the governing physical relation for each stage. (b) Determine the requested observables from the stated initial conditions and constraints. (c) Check signs, dimensions, and the physical limiting behavior of the results.
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problems.proof.prevStepproblems.proof.nextStep
v2=2as,v=2(m1−m2)gsm1+m2\boxed{v^2=2as,\qquad v=\sqrt{\frac{2(m_1-m_2)gs}{m_1+m_2}}}
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Apply the model consistently to each part, then check dimensions and physical limits.