A railway wagon of mass is rolling on a smooth horizontal track at

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A railway wagon AA of mass 1.0×104 kg1.0 \times 10^{4}\,\text{kg} is rolling on a smooth horizontal track at 2.0 m s−12.0\,\text{m\,s}^{-1}. It collides with an identical wagon BB of mass 1.5×104 kg1.5 \times 10^{4}\,\text{kg} that is at rest on the same track. After the coupling devices lock, the two wagons move together. (i) Determine their common speed just after coupling. (ii) Calculate the loss of kinetic energy of the system due to the coupling. (iii) What fraction of the initial kinetic energy of wagon AA is lost in the process?

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