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          "content": "Using the SI force law for two magnetic point poles whose strengths are given in webers:\n\n\\[\nF=\\frac{m_1 m_2}{4\\pi \\mu_0 r^2}\n\\]\n\nGiven:\n\n\\[\nm_1 = 4\\pi \\times 10^{-4}\\ \\text{Wb}\n\\]\n\n\\[\nm_2 = 4\\pi \\times 1.5 \\times 10^{-4} = 6\\pi \\times 10^{-4}\\ \\text{Wb}\n\\]\n\n\\[\nr = 10\\ \\text{cm} = 0.1\\ \\text{m}\n\\]\n\n\\[\n\\mu_0 = 4\\pi \\times 10^{-7}\\ \\text{H/m}\n\\]\n\nSubstitute:\n\n\\[\nF=\\frac{(4\\pi \\times 10^{-4})(6\\pi \\times 10^{-4})}{4\\pi(4\\pi \\times 10^{-7})(0.1)^2}\n\\]\n\n\\[\nF=\\frac{24\\pi^2 \\times 10^{-8}}{16\\pi^2 \\times 10^{-9}}\n\\]\n\n\\[\nF=\\frac{24}{16}\\times 10 = 15\\ \\text{N}\n\\]\n\nThis matches option C.\n\nFINAL=C",
          "content_excerpt": "Using the SI force law for two magnetic point poles whose strengths are given in webers:\n\n\\[\nF=\\frac{m_1 m_2}{4\\pi \\mu_0 r^2}\n\\]\n\nGiven:\n\n\\[\nm_1 = 4\\pi \\times 10^{-4}\\ \\text{Wb}\n\\]\n\n\\[\nm_2 = 4\\pi \\tim",
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          "content": "\u201cTurtles live long lives and are happy creatures, unless they are injured\u201d means: if they are not injured, then they live long lives and are happy.\n\nLet:\n- L = Turtles live long lives\n- H = Turtles are happy creatures\n- I = Turtles are injured\n\nThe main claim is \u201cL and H,\u201d with the exception \u201cunless I.\u201d In propositional logic, \u201cP unless Q\u201d is usually symbolized as P \u2228 Q, equivalently \u00acQ \u2192 P.\n\nSo:\n- P = L \u2227 H\n- Q = I\n\nThus the formula is:\n\n\\[\n(L \\land H) \\lor I\n\\]\n\nThat matches option B.\n\nFINAL=B",
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