How does the mass of the Earth compare to the mass of moon? (1 point)
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• The mass of the Earth is about 80 times the mass of the moon.
• The mass of the Earth is about 70 times the mass of the moon.
• The mass of the Earth is about 50 times the mass of the moon.
• The mass of the Earth is about 40 times the mass of the moon.
The mass of the Earth is about 80 times the mass of the moon.
The correct answer is:
• The mass of the Earth is about 80 times the mass of the moon.
To compare the mass of the Earth to the mass of the Moon, we can use scientific data. The mass of the Earth is approximately 5.97 x 10^24 kilograms, and the mass of the Moon is approximately 7.35 x 10^22 kilograms.
To determine the ratio of the Earth's mass to the Moon's mass, we can divide the mass of the Earth by the mass of the Moon:
Ratio = Mass of Earth / Mass of Moon
Plugging in the values, we get:
Ratio = 5.97 x 10^24 kg / 7.35 x 10^22 kg
Now, by cancelling out the units of kilograms, we can simplify the calculation:
Ratio = (5.97 / 7.35) x (10^24 / 10^22)
Calculating the fraction part, we get:
Ratio = 0.8122 x 10^2
This can be further simplified as:
Ratio = 81.22
Therefore, the mass of the Earth is approximately 81 times the mass of the Moon.
Now, let's consider the given answer options:
• The mass of the Earth is about 80 times the mass of the moon. (This option aligns with the calculated value of 81, so it is a possible correct answer)
• The mass of the Earth is about 70 times the mass of the moon. (This option is less than the calculated value of 81, so it does not match the calculation.)
• The mass of the Earth is about 50 times the mass of the moon. (This option is significantly less than the calculated value of 81, so it does not match the calculation.)
• The mass of the Earth is about 40 times the mass of the moon. (This option is significantly less than the calculated value of 81, so it does not match the calculation.)
Thus, the correct answer is:
• The mass of the Earth is about 80 times the mass of the moon.