A stage light hangs motionless from the ceiling

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

Problem

A 12 kg12\,\text{kg} stage light hangs motionless from the ceiling. It is supported by two cables: one cable is horizontal and attaches to a nearby wall, while the second cable attaches to the ceiling and makes a 40∘40^{\circ} angle above the horizontal. What is the magnitude of the tension in the horizontal cable? (Take g=9.8 m/s2g = 9.8\,\text{m/s}^2.) (a) 1.8×102 N1.8\times10^{2}\,\text{N} (b) 9.9×101 N9.9\times10^{1}\,\text{N} (c) 1.4×102 N1.4\times10^{2}\,\text{N} (d) 1.2×102 N1.2\times10^{2}\,\text{N}

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