Consider a space pod somewhere between earth and the moon, at just the right distance so that the gravitational attractions to Earth and Moon are equal. Is this location nearer Earth or Moon?
What do you think? The moon has much less mass than Earth.
Earth
MOON!
To determine whether the location described is nearer to the Earth or the Moon, we need to consider the concept of gravitational force.
The gravitational force between two objects, such as the Earth and the Moon, depends on their masses and the distance between them. The force is inversely proportional to the square of the distance between the two objects.
In this scenario, it is stated that the gravitational attractions to Earth and the Moon are equal. This means that the gravitational forces exerted by both the Earth and the Moon on the space pod are balanced.
Since the gravitational force decreases with distance, equal gravitational attraction implies that the distance between the space pod and the Earth is larger than the distance between the space pod and the Moon. This means that the space pod is closer to the Moon than it is to the Earth.
In conclusion, in the described scenario, the location of the space pod is nearer to the Moon than to the Earth.