Acceleration due to gravity on moon is $\frac 16$ of the acceleration due to gravity on earth. If the ratio of densities of earth $({\rho _e})$ and moon $({\rho _m})$ is $\left( {\frac{{{\rho _e}}}{{{\rho _m}}}} \right) = \frac{5}{3}$ then radius of moon $R_m$ in terms of $R_e$ will be

The value of $‘g’$ at a particular point is $9.8\,m/{s^2}$. Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of $‘g’$ at the same point (assuming that the distance of the point from the centre of earth does not shrink) will now be ……… $m/{\sec ^2}$.

The acceleration due to gravity on a planet is $1.96 \,m / s ^2$. If it is safe to jump from a height of $3 \,m$ on the earth, the corresponding height on the planet will be …….. $m$

If a planet consists of a satellite whose mass and radius were both half that of the earth, the acceleration due to gravity at its surface would be ……… $m/{\sec ^2}$ ($ g$ on earth $= 9.8\, m/sec^2$ )

The acceleration of a body due to the attraction of the earth (radius $R$) at a distance $2 \,R$ from the surface of the earth is ($g =$ acceleration due to gravity at the surface of the earth)