Caliculate the acceleration of the moon towards earth’s center `(AS_(1))`

What path will the moon take when the gravitational interaction between the moon and earth disappears? (AS_(2))

Where does the center of gravity of the atmosphere of the earth lie? (AS_(2))

Find the free-fall acceleration of an object on the surface of the moon, if the radius of the moon and its mass are 1740 km and 7.4 xx 10^(22) kg respectively. Compare this value with free fall acceleration of a body on the surface of the earth. (AS_(1))

The change in the value of acceleration of earth toward sun, when the moon coomes from the position of solar eclipse to the position on the other side of earth in line with sun is : (mass of moon =7.36xx10^(22) kg, orbital radius of moon =3.8xx10^(8) m.)

Statement-1: The acceleration of a particle near the earth surface differs slightly from the gravitational acceleration Statement-2: The earth is not a uniform sphere and because the earth rotates.

Binding energy of moon and earth is :-

A particle is moving along a straight line along x-zxis with an initial velocity of 4 m//s towards positive x-axis. A constant acceleration of 1 m//s^(2) towards negative x-axis starts acting on particle at t=0 . Find velocity (in m//s ) of particle at t=2 s .

If g_E and g_M are the acceleration due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio electronic charge on the moon/electronic charge on the earth to be