Question

Remember to include your data, equation, and work when solving this problem.

The moon has a mass of 7.35 E 22 kg and is located 3.84 E 8 meters from the Earth. If Ellen, an earthling, has a mass of 47 kg, what is the gravitational force between Ellen and the moon?

Answer 1

F = 0.00156[N]

Step-by-step explanation:

We can solve this problem by using Newton's proposed universal gravitation law.

`F=G*(m_(1) *m_(2) )/(r^(2) ) \\`

Where:

F = gravitational force between the moon and Ellen; units [Newtos] or [N]

G = universal gravitational constant = 6.67 * 10^-11 [N^2*m^2/(kg^2)]

m1= Ellen's mass [kg]

m2= Moon's mass [kg]

r = distance from the moon to the earth [meters] or [m].

Data:

G = 6.67 * 10^-11 [N^2*m^2/(kg^2)]

m1 = 47 [kg]

m2 = 7.35 * 10^22 [kg]

r = 3.84 * 10^8 [m]

`F=6.67*10^(-11) * (47*7.35*10^(22) )/((3.84*10^8)^(2) )\\ F= 0.00156 [N]`

This force is very small compare with the force exerted by the earth to Ellen's body. That is the reason that her body does not float away.