Question

We know the moon circulates the Earth. Suppose the mass of the Earth and moon are 5.9742 x1024 kg and 7.36 x 1022 kg, whereas the radius of the orbit is 382171 km. What will the gravitational force between the Earth and the moon?

Answer 1

Answer:

The gravitational force between two objects, one of mass M1 and the other of mass M2, is:

F = G*M1*M2/R^2

Where G is a constant:

G = 6.6x10^11 m^3*/(kg*s^2)

And R is the distance between the two objects.

M1 = 5.9742x10^24 kg

M2 = 7.36x10^22 kg

R = 382171 km = 382171000 m

Then the gravitational force is:

F = 6.6x10^-11 m^3*/(kg*s^2)*(5.9742x10^24 kg)*(7.36x10^22 kg)/(382171000 m)^2

F = 1.987x10^20 N