A cart is moving to the east when it suddenly breaks into two pieces

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A 4.0 kg4.0\,\text{kg} cart is moving 3.0 m ⁣⋅ ⁣s−13.0\,\text{m}\!\cdot\!\text{s}^{-1} to the east when it suddenly breaks into two pieces. A 1.5 kg1.5\,\text{kg} fragment continues eastward at 5.0 m ⁣⋅ ⁣s−15.0\,\text{m}\!\cdot\!\text{s}^{-1}. Neglecting external forces, what is the velocity of the 2.5 kg2.5\,\text{kg} fragment? (a) 3.0 m ⁣⋅ ⁣s−13.0\,\text{m}\!\cdot\!\text{s}^{-1} east (b) 1.8 m ⁣⋅ ⁣s−11.8\,\text{m}\!\cdot\!\text{s}^{-1} west (c) 1.8 m ⁣⋅ ⁣s−11.8\,\text{m}\!\cdot\!\text{s}^{-1} east (d) 2.4 m ⁣⋅ ⁣s−12.4\,\text{m}\!\cdot\!\text{s}^{-1} west

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