A block attached to a light spring is displaced from equilibrium by the vector

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A block attached to a light spring is displaced from equilibrium by the vector x=0.20 m ı^+0.10 m ȷ^\mathbf{x}=0.20\,\text{m}\,\hat\imath+0.10\,\text{m}\,\hat\jmath. If the spring constant is 50 N ⁣/ ⁣m50\,\text{N}\!/\!\text{m}, which vector best represents the restoring force on the block at that instant? (a) −10 N ı^+5.0 N ȷ^\phantom{-}10\,\text{N}\,\hat\imath+5.0\,\text{N}\,\hat\jmath (b) −5.0 N ı^−10 N ȷ^-5.0\,\text{N}\,\hat\imath-10\,\text{N}\,\hat\jmath (c) −10 N ı^−5.0 N ȷ^-10\,\text{N}\,\hat\imath-5.0\,\text{N}\,\hat\jmath (d) −10 N ı^+5.0 N ȷ^-10\,\text{N}\,\hat\imath+5.0\,\text{N}\,\hat\jmath

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