Gravitational Force between two masses

Gravitational force is the force of attraction between two masses. It is a fundamental force of nature that keeps planets in orbit around stars and causes objects to fall towards the ground. The strength of gravitational force depends on the mass of the two objects and the distance between them.

Calculation of Gravitational Force

The formula for calculating gravitational force is given by:

F = G * (m1 * m2) / d^2

Where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them.

Given that the gravitational force between two masses at a distance d apart is 6N, we can use the above formula to find the mass of the two objects.

6 = G * (m1 * m2) / d^2

We know that G is a constant and d is given, so we can solve for m1 * m2, which gives us:

m1 * m2 = 6 * d^2 / G

Gravitational Force on Moon

If these masses are taken to the moon and kept at the same separation, then the force between them will change. This is because the gravitational force depends on the mass of the two objects and the distance between them.

On the moon, the gravitational force is weaker than on Earth because the moon has less mass than the Earth. This means that the mass of the two objects will have a greater effect on the gravitational force than the distance between them.

The formula for calculating the gravitational force on the moon is the same as on Earth, but the value of G is different. The value of G on the moon is approximately 1/6th of the value on Earth.

Therefore, the gravitational force between the two masses on the moon will be:

F = G_moon * (m1 * m2) / d^2

Where G_moon is the gravitational constant on the moon.

Since the masses of the two objects and the distance between them are the same, the gravitational force on the moon will be 1/6th of the gravitational force on Earth.

So, the force between the two masses on the moon will be:

F_moon = 6N / 6 = 1N

Conclusion

In conclusion, the gravitational force between two masses at a distance d apart can be calculated using the formula F = G * (m1 * m2) / d^2. If these masses are taken to the moon and kept at the same separation, the gravitational force between them will be weaker due to the lower value of G on the moon. Therefore, the force between the two masses on the moon will be 1/6th of the force on Earth.