1.1.7
[tex]1 \ N = 1 \ \frac{kg\cdot m}{s^{2}}\\\\1 \ C = 1 \ A\cdot 1 \ s\\\\k = [\frac{Nm^{2}}{C^{2}}] = [\frac{\frac{kg\cdot m}{s^{2}}\cdot m^{2}}{(A\cdot s)^{2}}] = [\frac{kg\cdot m^{3}}{A^{2}\cdot s^{4}}][/tex]
1.1.9
[tex]\hug\boxed{b) \ T = 2\pi\sqrt{\frac{l}{g}}}[/tex]
[tex]T = 1 \ s\\\\l = 1 \ m\\\\g = 1 \ \frac{m}{s^{2}}\\\\\\T = [\sqrt{\frac{l}{g}}] = [\sqrt{\frac{m}{\frac{m}{s^{2}}}}]=[\sqrt{s^{2}}] = [s][/tex]
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Verified answer
1.1.7
[tex]1 \ N = 1 \ \frac{kg\cdot m}{s^{2}}\\\\1 \ C = 1 \ A\cdot 1 \ s\\\\k = [\frac{Nm^{2}}{C^{2}}] = [\frac{\frac{kg\cdot m}{s^{2}}\cdot m^{2}}{(A\cdot s)^{2}}] = [\frac{kg\cdot m^{3}}{A^{2}\cdot s^{4}}][/tex]
1.1.9
[tex]\hug\boxed{b) \ T = 2\pi\sqrt{\frac{l}{g}}}[/tex]
[tex]T = 1 \ s\\\\l = 1 \ m\\\\g = 1 \ \frac{m}{s^{2}}\\\\\\T = [\sqrt{\frac{l}{g}}] = [\sqrt{\frac{m}{\frac{m}{s^{2}}}}]=[\sqrt{s^{2}}] = [s][/tex]