Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth $d=\frac{R}{2}$ from the surface of earth, if its werght on the surface of earth is $200\,N$, will be $………..\,N$ ( $Given R =$ Radrus of earth)

What is value of acceleration due to gravity $(g)$ at the centre of earth ? What will be the variation of $g$ below and above the surface of earth ?

Obtain an expression for the variation in effective gravitational acceleration $g'$ with latitude due to earth’s rotation.

Consider two spherical planets of same average density. Second planet is $8$ times as massive as first planet. The ratio of the acceleration due to gravity of the second planet to that of the first planet is

A body weight $ W $ newton at the surface of the earth. Its weight at a height equal to half the radius of the earth will be