A cart initially at rest on a frictionless track draws in small beads that enter…

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

Problem

A 1.5 kg1.5\,\text{kg} cart initially at rest on a frictionless track draws in small beads that enter horizontally from behind it at a constant rate 0.20 kg s−10.20\,\text{kg}\,\text{s}^{-1} with speed 6.0 m s−16.0\,\text{m}\,\text{s}^{-1} relative to the track. Assuming the inflow lasts for 5.0 s5.0\,\text{s} and all beads remain in the cart, calculate the cart’s speed at the end of the 5.0 s5.0\,\text{s} interval.

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