The distance from the sun to Earth is 1.496 x 108 km. How many minutes does it take light to travel from the sun to Earth?
太阳到地球的距离为 1.496 x 10 8 公里。光从太阳传到地球需要多少分钟？

Question

BlackTom AI · Accepted Answer

Speed of light in vacuum is about 3.00 × 10^5 km/s, so travel time = distance ÷ speed.

1) Relevant concepts
- Speed of light c ≈ 3.00 × 10^5 km/s (common approximation).
- Time = distance / speed; convert seconds to minutes by dividing by 60.
- Keep units consistent (distance in km, speed in km/s).

2) Step-by-step reasoning and calculations
- Given distance: d = 1.496 × 10^8 km.
- Use c = 3.00 × 10^5 km/s.
- Compute time in seconds: t(s) = d / c = (1.496 × 10^8 km) / (3.00 × 10^5 km/s).
  - Divide coefficients: 1.496 / 3.00 = 0.498666...
  - Subtract exponents: 10^8 / 10^5 = 10^3.
  - So t(s) = 0.498666... × 10^3 s = 498.666... s.
- Convert seconds to minutes: t(min) = 498.666... s ÷ 60 s/min = 8.311111... min.

3) Intermediate steps shown
- 1.496 × 10^8 ÷ 3.00 × 10^5 = (1.496/3.00) × 10^(8−5) = 0.4986667 × 10^3 = 498.6667 s.
- 498.6667 s / 60 = 8.3111117 min → rounded to three decimal places = 8.311 min.

4) Why this is correct
Using consistent units and the standard approximation for the speed of light yields the calculated travel time. The rounding to three decimal places gives 8.311 minutes, which matches the provided correct answer. If a slightly more precise c (299,792 km/s) is used, the result is about 8.316 min; the small difference comes from the different value chosen for c, but the standard classroom approximation 3.00×10^5 km/s leads exactly to 8.311 min.

5) Why other answers would be incorrect
Common mistakes that produce wrong values: using speed of light in m/s without converting distance to meters, forgetting to convert seconds to minutes, or arithmetic/rounding errors. Using 3.0×10^8 m/s while leaving distance in km would give a result off by a factor of 1000.

Conclusion: The computed time is 8.311 minutes, confirming the provided answer 8.311.

The distance from the sun to Earth is 1.496 x 108 km. How many minutes does it take light to travel from the sun to Earth? 太阳到地球的距离为 1.496 x 10 8 公里。光从太阳传到地球需要多少分钟？单项选择题

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The distance from the sun to Earth is 1.496 x 108 km. How many minutes does it take light to travel from the sun to Earth? 太阳到地球的距离为 1.496 x 10 8 公里。光从太阳传到地球需要多少分钟？ 单项选择题