The mass of Saturn is approximately 6 × 10^26 kg, while the mass of Mercury is approximately 3 × 10^23 kg. Which of the followin
g is true?
A. The mass of Mercury is approximately two hundred times the mass of Saturn.
B. The mass of Mercury is approximately two thousand times the mass of Saturn.
C. The mass of Saturn is approximately two thousand times the mass of Mercury.
D. The mass of Saturn is approximately two hundred times the mass of Mercury.
(I added a few extra points to it, to help out)
1 answer:
The right answer is:
C. The mass of Saturn is approximately two thousand times the mass of Mercury.
Step-by-step explanation:
We will find the ratio of both masses to compare them.
Given
Mass of Saturn = S = ![6*10^{26}\ kg](https://tex.z-dn.net/?f=6%2A10%5E%7B26%7D%5C%20kg)
Mass of Mercury = M = ![3 * 10^{23}\ kg](https://tex.z-dn.net/?f=3%20%2A%2010%5E%7B23%7D%5C%20kg)
The ratio of larger mass to smaller is:
![\frac{S}{M} = \frac{6*10^{26}}{3*10^{23}}\\= \frac{6*1000*10^{23}}{3*10^{23}}\\= 2*1000\\=2000\ times](https://tex.z-dn.net/?f=%5Cfrac%7BS%7D%7BM%7D%20%3D%20%5Cfrac%7B6%2A10%5E%7B26%7D%7D%7B3%2A10%5E%7B23%7D%7D%5C%5C%3D%20%5Cfrac%7B6%2A1000%2A10%5E%7B23%7D%7D%7B3%2A10%5E%7B23%7D%7D%5C%5C%3D%202%2A1000%5C%5C%3D2000%5C%20times)
Hence,
The right answer is:
C. The mass of Saturn is approximately two thousand times the mass of Mercury.
Keywords: Mass, Ratio
Learn more about mass at:
#LearnwithBrainly
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