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How far does light travel in 1.00 minute? Use c = 3.00 x 10^8 m/s.
A1.80 x 10^7 km
B1.80 x 10^13 km
C5.00 x 10^6 km
D3.00 x 10^8 km
Answer & Solution
Correct answer: A. 1.80 x 10^7 km
1. Distance equals speed multiplied by time, d = v multiplied by t.
2. Convert 1.00 minute to seconds: 1.00 x 60 = 60 s.
3. Multiply: d = (3.00 x 10^8 m/s)(60 s) = 1.80 x 10^10 m.
4. Convert to kilometres: 1.80 x 10^10 m equals 1.80 x 10^7 km.
5. 5.00 x 10^6 km comes from using too short a time, and 3.00 x 10^8 km simply restates the speed value in the wrong unit.
6. 1.80 x 10^13 km overstates the result by six orders of magnitude.
7. So 1.80 x 10^7 km is correct.
_Source: OpenStax Physics (CC BY 4.0), Ch 10 "Special Relativity", section 10.1 Postulates of Special Relativity_
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