A block slides along a horizontal track while a horizontal force acts on it as it moves

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

Problem

A block slides along a horizontal track while a horizontal force acts on it as it moves. From x=0 mx=0\,\text{m} to x=2 mx=2\,\text{m} the force is +5 N+5\,\text{N} (directed in the +x+x direction). From x=2 mx=2\,\text{m} to x=4 mx=4\,\text{m} the force decreases uniformly to 0 N0\,\text{N}. From x=4 mx=4\,\text{m} to x=6 mx=6\,\text{m} the force is −3 N-3\,\text{N} (directed opposite the motion). During which interval is the work done by the force on the block negative? (a) 2 m≤x≤4 m2\text{ m} \le x \le 4\text{ m} (b) 4 m≤x≤6 m4\text{ m} \le x \le 6\text{ m} (c) 0 m≤x≤6 m0\text{ m} \le x \le 6\text{ m} (d) 2 m≤x≤6 m2\text{ m} \le x \le 6\text{ m}

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