Two small trolleys of masses and are initially at rest on a smooth

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two small trolleys of masses 2 kg2\,\text{kg} and 3 kg3\,\text{kg} are initially at rest on a smooth, horizontal track. They are pressed together by a light spring placed between them. When the spring is released, the 2 kg2\,\text{kg} trolley moves to the right with a speed of 0.75 m s−10.75\,\text{m}\,\text{s}^{-1}. Using these data, answer the following: (i) Calculate the magnitude and direction of the linear momentum of the 2 kg2\,\text{kg} trolley immediately after release. (ii) Determine the speed and direction of the 3 kg3\,\text{kg} trolley immediately after release. (iii) Show that the total linear momentum of the two-trolley system is conserved during the release of the spring.

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