Calculate the radius of the earth if the density of the earth is equal to the density of the nucleus. [mass of earth `5.97xx10^(24)`kg].

Calculate the density of the nucleus with mass number A.

If R is the radius of the Earth and g is the acceleration due to gravity on the Earth's surface. Find the mean density of the Earth.

(i) Define orbital velocity and establish an expression for it. (ii) Calculate the value of orbital velocity for an artifical satellite of earth orbiting at a height of 1000km (Mass of the earth =6xx10^(24)kg , radius of the earth =6400km ).

Find the radius of the circular orbit of a satellite moving with an angular speed equal to the angular speed of earth's rotation. Mass of the earth =6xx10^24kg

Calculate the value of orbital velocity for an artifical satellite of earth orbiting at a height of 1000 km (Mass of the earth =6 xx 10^(24) kg, radius of the earth = 6400 km )