# How Strong is the Moon's Gravitational Pull on a 1-kg Mass on Earth?

• needhelp83
In summary, the force of gravity between a 1-kg mass on Earth and the moon with a mass of 7.4 x 10^22 kg is 1.99*10^20 N. This calculation is based on the formula F=(Gme*mb)/r^2, where G is the gravitational constant, me is the mass of the Earth, mb is the mass of the moon, and r is the distance between the two objects. This result may seem counterintuitive, but it is correct based on the laws of gravity.
needhelp83
A 1-kg mass at the Earth's surface is gravitationally attracted to Earth with a force of 9.8 N. Calculate the force of gravity with which the 1-kg mass on Earth is attracted to the moon. (The moon's mass is 7.4 x 10^22 kg)

Would this be setup correctly?

F=(G me mb)/r^2

F=(6.67*10^(-11))(7.4*10^22 kg)(5.98*10^24 kg)/(3.84*10^20)^2=1.99*10^20 N

F=ma
F=(1kg)(1.99*10^20 N)=1.99*10^20 N

Do you really think that your answer makes sense? That an object right on the surface of the huge Earth feels a force of about 10 N towards the earth, but also feels a force a gazillion times bigger pulling it to the smaller and more distant moon?

Hint: You need the gravitational force between Object and Moon, so the only masses involved would be that of the object and the moon.

Yes, this setup is correct. The force of gravity between two objects can be calculated using the formula F = (G * m1 * m2) / r^2, where G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of their masses. In this case, m1 is the mass of the 1-kg object on Earth and m2 is the mass of the moon. The distance between the centers of their masses is the distance between the Earth and the moon, which is approximately 384,400 km (3.84 x 10^8 m). Plugging in the values, we get a force of approximately 1.99 x 10^20 N, which is the force with which the 1-kg mass on Earth is attracted to the moon. This is significantly larger than the force of 9.8 N that the 1-kg mass experiences due to Earth's gravity, showing the strong gravitational pull of the moon.

## 1. What is the gravitational pull of the moon?

The gravitational pull of the moon is the force of attraction between the moon and other objects, such as the Earth or other celestial bodies. It is approximately 1/6th of the Earth's gravitational pull.

## 2. How does the gravitational pull of the moon affect tides?

The gravitational pull of the moon is responsible for the ocean tides on Earth. As the moon orbits around the Earth, its gravitational pull creates a bulge in the ocean on the side facing the moon, as well as a bulge on the opposite side. This results in the ocean tides we experience on Earth.

## 3. Does the gravitational pull of the moon affect the Earth's rotation?

Yes, the gravitational pull of the moon affects the Earth's rotation. The moon's gravity creates a tidal bulge on Earth that causes a slight slowing of the Earth's rotation. This results in the lengthening of our days by about 1.4 milliseconds per century.

## 4. How does the distance between the moon and Earth affect the gravitational pull?

The strength of the gravitational pull between the moon and Earth is directly related to the distance between them. The closer the moon is to Earth, the stronger the gravitational pull will be. This is why the moon's gravitational pull is stronger when it is at its closest point to Earth, known as perigee, and weaker when it is at its farthest point, known as apogee.

## 5. Can the gravitational pull of the moon affect human behavior?

There is no scientific evidence to support the idea that the moon's gravitational pull can directly affect human behavior. Some studies have shown a slight increase in certain behaviors, such as aggression or mood swings, during a full moon, but these are likely due to other factors such as cultural beliefs or environmental factors.

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