Question

what is the gravitational force between the earth and the moon if they are 3.84x100000000m apart? The mass of the earth is 5.98x1000000000000000000000000 and the moons mass is 7.35x10000000000000000000000

Answer 1

We can use the formula for gravitational force:

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

where:

G = gravitational constant = 6.67430 × 10^-11 m^3 kg^-1 s^-2

m1 and m2 are the masses of the two objects in kilograms

d is the distance between their centers in meters

F is the gravitational force in Newtons

Plugging in the values:

F = 6.67430 × 10^-11 * ((5.98x10^24) * (7.35x10^22)) / (3.84x10^8)^2

F = 1.99x10^20 N

Therefore, the gravitational force between the earth and the moon is approximately 1.99x10^20 Newtons.

Answer 2

1.98 × 10^20 Newtons.

Step-by-step explanation:

To calculate the gravitational force between the Earth and the Moon, we can use Newton's law of gravitation:

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

where F is the gravitational force, G is the gravitational constant (6.6743 × 10^-11 N m^2/kg^2), m1 and m2 are the masses of the Earth and Moon respectively, and r is the distance between the centers of mass of the Earth and Moon.

Plugging in the given values, we get:

F = (6.6743 × 10^-11 N m^2/kg^2) * ((5.98 × 10^24 kg) * (7.35 × 10^22 kg)) / (3.84 × 10^8 m)^2

Simplifying this expression, we get:

F = 1.98 × 10^20 N

Therefore, the gravitational force between the Earth and the Moon is approximately 1.98 × 10^20 Newtons.