Answer to Question #231303 in Physics for Sheyni

Question

The speed of light is 3 x 10 ⁸ m/s. Convert this to furlongs and fortnight. A furlong is 220 yards, and a fortnight is 14 days. An inch is 2.54 cm

Answer 1

$$1m = 1.09361\space yards = \dfrac{1.09361}{220}\space furlongs$$

$$1s = \dfrac{1}{60\cdot 60\cdot 24} days = \dfrac{1}{60\cdot 60\cdot 24\cdot 14} fortnight$$

Thus, obtain:

$$c = 3\times 10^8\dfrac{m}{s} = 3\times 10^8\cdot \dfrac{\dfrac{1.09361}{220}\space furlongs}{\dfrac{1}{60\cdot 60\cdot 24\cdot 14} fortnight} =\\ =3\times 10^8\cdot \dfrac{1.09361}{220}\cdot 60\cdot 60\cdot 24\cdot 14\dfrac{ furlongs}{fortnight} =\\ \approx 1.8\times 10^{12}\dfrac{ furlongs}{fortnight}$$

Answer. $1.8\times 10^{12}\dfrac{ furlongs}{fortnight}$.