If the value of g at the surface of the earth is $9.8$ $m/{\sec ^2}$, then the value of g at a place $480\, km$ above the surface of the earth will be .......... $m/{\sec ^2}$. (Radius of the earth is $6400\, km$)   

Find the magnitude of acceleration due to gravity at height of $10\, km$ from the surface of earth.

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)

$R$ is the radius of the earth and $\omega $ is its angular velocity and ${g_p}$ is the value of $g$ at the poles. The effective value of $g$ at the latitude $\lambda = 60^\circ $ will be equal to

If a tunnel is cut at any orientation through earth, then a ball released from one end will reach the other end in time ........ $\min$ (neglect earth rotation)

The weight of a body at the centre of the earth is