Question - Calculating the Distance Light Travels in One Year
Solution:
To show that the distance light travels in one year is approximately $$ 9.5 \times 10^{15} $$ meters, we follow these steps:1. Calculate the number of seconds in one year: - There are 60 seconds in a minute. - There are 60 minutes in an hour. - There are 24 hours in a day. - There are 365 days in a year (ignoring leap years for this calculation). So, the number of seconds in a year is: $$ 60 \times 60 \times 24 \times 365 = 31,536,000 $$ seconds.2. Multiply the number of seconds by the speed of light: The speed of light is given as $$ 3.00 \times 10^8 $$ meters per second. Therefore, the distance light travels in one year is: $$ 31,536,000 \text{ seconds/year} \times 3.00 \times 10^8 \text{ meters/second} $$3. Perform the multiplication: $$ 31,536,000 \text{ s} \times 3.00 \times 10^8 \text{ m/s} = 9.4608 \times 10^{15} \text{ meters} $$Therefore, to two significant figures, the distance light travels in one year is approximately $$ 9.5 \times 10^{15} $$ meters, as requested to show.
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