Question

If we were to use our scale factor (106,000,000) to scale down the entire solar system, what would the size of Mercury be? Round your answer to the nearest tenth (one decimal place).

Answer 1

Answer:

The scaled down mass of Mercury will be 3.099 × 10¹⁵ kg

Explanation:

Here, we have that mass of Mercury = 3.285 × 10²³ kg

Given that the entire solar system is scaled down by a factor of 106,000,000, we have that the scaled down mass of Mercury will be found as follows;

$Scaled \ down \ mass \ of \, Mercury=\frac{mass \ of \, Mercury}{Scale \, factor}$

$Scaled \ down \ mass \ of \, Mercury=\frac{3.285 \times 10^{23}}{106000000} = 3.099 \times 10^{15} \, kg$

The scaled down mass of Mercury = 3.099 × 10¹⁵ kg.