The mass of the moon is about 7.35 x 10^22 kg. the mass of the earth is about 5.98 x 10^24 kg. if the centers of the two are 3.84 x 10^8 m apart, what is the gravitational force between them?
Fg=1.99*10^20N or 19.9*10^19N
as always, F=GMm/r^2
so plug in your numbers
To calculate the gravitational force between two objects, you can use Newton's law of universal gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula for gravitational force (F) is:
F = G * (m1 * m2) / r^2
Where:
F = Gravitational force
G = Universal gravitational constant (6.67430 x 10^-11 m^3 kg^-1 s^-2)
m1, m2 = Masses of the two objects
r = Distance between the centers of the two objects
Let's plug in the given values:
m1 (mass of the Moon) = 7.35 x 10^22 kg
m2 (mass of the Earth) = 5.98 x 10^24 kg
r (distance between centers) = 3.84 x 10^8 m
Now we can calculate the gravitational force:
F = (6.67430 x 10^-11) * ((7.35 x 10^22) * (5.98 x 10^24)) / (3.84 x 10^8)^2
Using this equation, you can evaluate the expression to find the value of the gravitational force between the Earth and the Moon.