Two constant forces act on a particle that undergoes a displacement

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

Problem

Two constant forces act on a particle that undergoes a displacement s=5 ı^−ȷ^+2 k^ m\mathbf{s}=5\,\hat\imath-\hat\jmath+2\,\hat k\,\text{m}. The forces are F1=2 ı^+3 ȷ^−k^ N\mathbf{F}_1=2\,\hat\imath+3\,\hat\jmath-\hat k\,\text{N} and F2=−ı^+4 ȷ^+2 k^ N\mathbf{F}_2=-\hat\imath+4\,\hat\jmath+2\,\hat k\,\text{N}. The net work done by the two forces is (a) 5 J5\,\text{J} (b) 14 J14\,\text{J} (c) 0 J0\,\text{J} (d) −5 J-5\,\text{J}

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