A stubborn bolt requires a torque of (45 , N ,

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

Problem

A stubborn bolt requires a torque of 45 N ⋅ m45\,\text{N}\,\cdot\,\text{m} to loosen. You have a wrench that is 25 cm25\,\text{cm} long, and you can pull only at an angle of 70∘70^{\circ} relative to the wrench handle. What minimum magnitude of force must you exert? (a) 5.3×102 N5.3\times10^{2}\,\text{N} (b) 3.0×102 N3.0\times10^{2}\,\text{N} (c) 1.9×102 N1.9\times10^{2}\,\text{N} (d) 2.3×102 N2.3\times10^{2}\,\text{N}

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