A sled is pulled by a rope so that the rope exerts a force of on the sled

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

Problem

A sled is pulled by a rope so that the rope exerts a force of F⃗r→s=5 i^+12 j^ N\vec{F}_{r\to s}=5\,\hat{i}+12\,\hat{j}\,\text{N} on the sled. What are (i) the force exerted by the sled on the rope and (ii) its magnitude? (a) 5 i^+12 j^  N;  13 N5\,\hat{i}+12\,\hat{j}\;\text{N};\;13\,\text{N} (b) −5 i^−12 j^  N;  17 N-5\,\hat{i}-12\,\hat{j}\;\text{N};\;17\,\text{N} (c) −5 i^−12 j^  N;  13 N-5\,\hat{i}-12\,\hat{j}\;\text{N};\;13\,\text{N} (d) −5 i^+12 j^  N;  13 N-5\,\hat{i}+12\,\hat{j}\;\text{N};\;13\,\text{N}

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