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Explain Bot To find the correct answer, we need to compare the masses of the Earth and the moon. The mass of an object can be calculated by measuring its gravitational pull. In this case, we can compare the gravitational pull of the Earth and the moon on objects near them.
To measure the gravitational pull, scientists use the concept of acceleration due to gravity. On the surface of the Earth, this value is approximately 9.8 meters per second squared (m/s^2). Similarly, on the surface of the moon, the acceleration due to gravity is about 1.6 m/s^2.
Now, let's use Newton's second law of motion, F = ma, where F is the force of gravity, m is the mass of the object, and a is the acceleration due to gravity. Rearranging the formula, we get m = F/a.
Using the known acceleration due to gravity values for the Earth and the moon, and assuming the force of gravity is the same for both objects, we can calculate the ratio of their masses.
So:
Mass of Earth / Mass of Moon = (Force of gravity on Earth / Acceleration due to gravity on Earth) / (Force of gravity on Moon / Acceleration due to gravity on Moon)
Mass of Earth / Mass of Moon = (1 / 9.8 m/s^2) / (1 / 1.6 m/s^2)
Simplifying the expression, we get:
Mass of Earth / Mass of Moon = (1.6 m/s^2) / (9.8 m/s^2)
Mass of Earth / Mass of Moon = 0.163
Therefore, the mass of the Earth is about 6.13 times the mass of the moon.
Since none of the provided answer options match this calculation, it seems there may be a mistake in the given options.