# If an astronaut moved away from Earth in the direction of the Moon, how would the gravitational force between Earth and the astronaut change?

The magnitude of the gravitational force increases.

We can visualize the effect mathematically via the equation for Newton's law of gravitation:

where

Therefore, as the distance between the astronaut and Earth increases, the magnitude of the gravitational force will decrease.

I will make the note that since the astronaut is heading toward another celestial body (the Moon), the gravitational force between him and that body will increase (because it's getting closer to the Moon).

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As the astronaut moves away from Earth towards the Moon, the gravitational force between the Earth and the astronaut would decrease. This is because gravitational force decreases with distance. The gravitational force between two objects is inversely proportional to the square of the distance between their centers. As the astronaut moves farther from the Earth, the distance between them increases, resulting in a weaker gravitational force. However, it's important to note that the gravitational force between the astronaut and the Moon would also increase as they approach each other.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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