The moon has a mass of 7.35x1022 kg and is a lot farther away than is shown in textbooks. The mass of the Earth is 5.98 x 1024 kg. The moon's mean orbit distance (center-to-center) around the earth is 3.84
x10 m.
8. Using this information, determine the gravitational force exerted on the moon by the Earth.

Explanation:

Given that,

The mass of a Moon,

The mass of the Earth,

The moon's mean orbit distance around the earth is,

We need to find the gravitational force exerted on the moon by the Earth.

The formula of gravitational force is given by :

So, the required force is .

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s