The speed of light is about [tex]3 \times 10^8[/tex] m/s. What is the speed of light in kilometers per hour?
Answer (3)
3 ∗ 1 0 8 s m 1 m → 1 0 − 3 km 1 s → 36 ∗ 1 0 − 4 h 3 ∗ 1 0 8 ∗ 36 ∗ 1 0 − 4 s 1 0 − 3 km = 1 0 8 ∗ 12 s 1 0 − 3 ∗ 1 0 4 km = = 1 0 8 ∗ 12 s 10 m = = 1 0 8 ∗ 83 ∗ 1 0 − 2 s m = = 83 ∗ 1 0 6 s m
3\cdot10^8 \ \frac{\big{m}}{\big{s}} =3\cdot10^5\cdot \frac{\big{10^3\ m\cdot 3600}}{\big{3600\ s}} =3\cdot10^5\cdot \frac{\big{3600\ km}}{\big{1\ hr}} =108\cdot10^7\ \frac{\big{km}}{\big{hr}}=\\\\=1.08\cdot10^9\ \frac{\big{km}}{\big{hr}}
The speed of light is approximately 1.08 × 1 0 9 km/h when converted from 3 × 1 0 8 m/s . This conversion involves changing meters to kilometers and seconds to hours. By using the relationships between these units, we arrive at the final value.
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