QuestionSeptember 20, 2025

Radio waves travel at the speed of light,which is 3.00times 10^8m/s How many kilometers will radio messages to outer space travel in exactly 35.1 days? square

Radio waves travel at the speed of light,which is 3.00times 10^8m/s How many kilometers will radio messages to outer space travel in exactly 35.1 days? square
Radio waves travel at the speed of light,which is 3.00times 10^8m/s How many kilometers will
radio messages to outer space travel in exactly 35.1 days?
square

Solution
4.6(197 votes)

Answer

9.10 \times 10^{11}\ \text{km} Explanation 1. Convert days to seconds 35.1 days \times 24 hr/day \times 3600 s/hr = 3,033,840 s 2. Calculate distance in meters Use d = vt. d = 3.00 \times 10^8\,\text{m/s} \times 3,033,840\,\text{s} = 9.10152 \times 10^{14}\,\text{m} 3. Convert meters to kilometers 9.10152 \times 10^{14}\,\text{m} \div 1000 = 9.10 \times 10^{11}\,\text{km} (rounded to 3 significant figures)

Explanation

1. Convert days to seconds<br /> $35.1$ days $\times 24$ hr/day $\times 3600$ s/hr $= 3,033,840$ s<br />2. Calculate distance in meters<br /> Use $d = vt$. $d = 3.00 \times 10^8\,\text{m/s} \times 3,033,840\,\text{s} = 9.10152 \times 10^{14}\,\text{m}$<br />3. Convert meters to kilometers<br /> $9.10152 \times 10^{14}\,\text{m} \div 1000 = 9.10 \times 10^{11}\,\text{km}$ (rounded to 3 significant figures)
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