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Question If Mars travels at 24,126 meters per second in orbit around the Sun and takes 1.88 earth years to complete its orbit, what is the total distance in miles Mars travels throughout its complete orbit? (Round your answer to the nearest whole number and do not include units or commas in your answer.) Note: There are 1,609 meters in a mile. Use 365 for the number of days in an Earth year.

Ask by Warren Watson. in the United States
Feb 03,2025

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Answer

Mars travels approximately 888983608 miles in its complete orbit around the Sun.

Solution

To find the total distance Mars travels throughout its complete orbit around the Sun, follow these steps: 1. **Calculate the Time in Seconds:** \[ \text{Time} = 1.88 \text{ years} \times 365 \text{ days/year} \times 24 \text{ hours/day} \times 3600 \text{ seconds/hour} \] \[ \text{Time} = 1.88 \times 365 \times 24 \times 3600 \approx 59,287,680 \text{ seconds} \] 2. **Calculate the Distance in Meters:** \[ \text{Distance} = \text{Speed} \times \text{Time} = 24,126 \text{ m/s} \times 59,287,680 \text{ s} \approx 1,430,374,567,680 \text{ meters} \] 3. **Convert Meters to Miles:** Since there are 1,609 meters in a mile: \[ \text{Distance in Miles} = \frac{1,430,374,567,680 \text{ meters}}{1,609} \approx 888,983,608 \text{ miles} \] (Rounded to the nearest whole number) **Final Answer:** 888983608

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Beyond the Answer

To find the total distance Mars travels in its orbit, we first need to calculate how long it takes in seconds for Mars to complete one orbit. In one year, there are 365 days, so 1.88 years is: 1.88 years × 365 days/year × 24 hours/day × 60 minutes/hour × 60 seconds/minute = 59,296,128 seconds. Now, we multiply this time by the speed of Mars: 59,296,128 seconds × 24,126 meters/second = 1,429,071,641,088 meters. Next, we convert meters to miles: 1,429,071,641,088 meters ÷ 1,609 meters/mile = 888,192,643.35 miles. Rounding to the nearest whole number, Mars travels approximately 888,192,644 miles in its orbit. So, the final answer is: 888192644

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