Problem 1
Two masses m₁,m₂ with collinear velocities u₁,u₂ collide perfectly inelastically. Find their common velocity and kinetic energy lost. Use the stated ideal model: quantities are constant or vary only as specified, with no extra drag, losses, or external influences. State a sign convention, keep units consistent, and use a classical approximation only where appropriate. (a) Set up the governing equation from a fundamental law. (b) Solve for the requested quantity under the stated conditions. (c) Check the result using a suitable limit, sign, or unit test, and report both the expression and its physical meaning.
problems.proof.stepOf
problems.proof.analysis
Apply the fundamental law to the correct system and interval. A conservation law is valid only when the assumptions ensure its corresponding conservation condition.
problems.proof.pitfall. Momentum is conserved in the isolated collision, but kinetic energy is not conserved when the bodies stick.