A block moving at collides head-on with a block moving at in the opposite direction

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 2 kg2\,\text{kg} block moving at 5 m s−15\,\text{m s}^{-1} collides head-on with a 3 kg3\,\text{kg} block moving at 2 m s−12\,\text{m s}^{-1} in the opposite direction. After the impact the two blocks stick together. The loss of kinetic energy in the collision is (a) 31 J31\,\text{J} (b) 54 J54\,\text{J} (c) 29 J29\,\text{J} (d) 19 J19\,\text{J}

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