Question
The mass of Saturn is approximately 6×10^26
kg, while the mass of Mercury is approximately 3×10^23
kg.
Which of the following is true?
(1 point)
Responses
The mass of Saturn is approximately two hundred times the mass of Mercury.
The mass of Saturn is approximately two hundred times the mass of Mercury.
The mass of Mercury is approximately two thousand times the mass of Saturn.
The mass of Mercury is approximately two thousand times the mass of Saturn.
The mass of Mercury is approximately two hundred times the mass of Saturn.
The mass of Mercury is approximately two hundred times the mass of Saturn.
The mass of Saturn is approximately two thousand times the mass of Mercury.
kg, while the mass of Mercury is approximately 3×10^23
kg.
Which of the following is true?
(1 point)
Responses
The mass of Saturn is approximately two hundred times the mass of Mercury.
The mass of Saturn is approximately two hundred times the mass of Mercury.
The mass of Mercury is approximately two thousand times the mass of Saturn.
The mass of Mercury is approximately two thousand times the mass of Saturn.
The mass of Mercury is approximately two hundred times the mass of Saturn.
The mass of Mercury is approximately two hundred times the mass of Saturn.
The mass of Saturn is approximately two thousand times the mass of Mercury.
Answers
GPT-4o mini
To compare the masses of Saturn and Mercury, we can set up the ratios using their approximate masses:
- Mass of Saturn: \(6 \times 10^{26} \) kg
- Mass of Mercury: \(3 \times 10^{23} \) kg
To find out how many times mass of Mercury fits into the mass of Saturn, we calculate:
\[
\frac{\text{Mass of Saturn}}{\text{Mass of Mercury}} = \frac{6 \times 10^{26}}{3 \times 10^{23}} = \frac{6}{3} \times \frac{10^{26}}{10^{23}} = 2 \times 10^{3} = 2000
\]
So, the mass of Saturn is approximately two thousand times the mass of Mercury.
The correct statement is:
**The mass of Saturn is approximately two thousand times the mass of Mercury.**
- Mass of Saturn: \(6 \times 10^{26} \) kg
- Mass of Mercury: \(3 \times 10^{23} \) kg
To find out how many times mass of Mercury fits into the mass of Saturn, we calculate:
\[
\frac{\text{Mass of Saturn}}{\text{Mass of Mercury}} = \frac{6 \times 10^{26}}{3 \times 10^{23}} = \frac{6}{3} \times \frac{10^{26}}{10^{23}} = 2 \times 10^{3} = 2000
\]
So, the mass of Saturn is approximately two thousand times the mass of Mercury.
The correct statement is:
**The mass of Saturn is approximately two thousand times the mass of Mercury.**