Write the difference between $G$ and $g$.
If the radius of the earth be increased by a factor of $5,$ by what factor its density be changed to keep the value of $g$ the same ?
A newly discovered planet has a density eight times the density of the earth and a radius twice the radius of the earth. The time taken by $2\, kg$ mass to fall freely through a distance $S$ near the surface of the earth is $1$ second. Then the time taken for a $4\, kg$ mass to fall freely through the same distance $S$ near the surface of the new planet is ....... $\sec$.
Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence.
Weight of $1 \,kg$ becomes $1/6$ on moon. If radius of moon is $1.768 \times {10^6}\,m$, then the mass of moon will be
$R$ 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