Subjects astronomy

Distance Conversion B6C7F7

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Distance Conversion B6C7F7


1. The problem is to convert the distances of stars from light years (ly) to meters (m) using the conversion factor $1\text{ ly} \approx 9.46 \times 10^{15} \text{ m}$. 2. The formula to convert light years to meters is: $$\text{Distance in meters} = \text{Distance in ly} \times 9.46 \times 10^{15}$$ 3. For Wolf 359, the distance in meters is already calculated as: $$7.78 \times 9.46 \times 10^{15} = 7.36 \times 10^{16} \text{ m}$$ 4. Now, calculate the distances for the other stars: - Ross 154: $$9.68 \times 9.46 \times 10^{15} = 9.15 \times 10^{16} \text{ m}$$ - YZ Ceti: $$12.13 \times 9.46 \times 10^{15} = 1.15 \times 10^{17} \text{ m}$$ - Gliese 832: $$16.08 \times 9.46 \times 10^{15} = 1.52 \times 10^{17} \text{ m}$$ 5. Explanation: Multiply the given distance in light years by the conversion factor to get the distance in meters. This uses basic multiplication and properties of exponents. Final answers: - Ross 154: $9.15 \times 10^{16}$ m - YZ Ceti: $1.15 \times 10^{17}$ m - Gliese 832: $1.52 \times 10^{17}$ m