The mass of a planet is $\frac{1}{10}^{\text {th }}$ that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:
$9.8 \mathrm{~m} \mathrm{~s}^{-2}$
$4.9 \mathrm{~m} \mathrm{~s}^{-2}$
$3.92 \mathrm{~m} \mathrm{~s}^{-2}$
$19.6 \mathrm{~m} \mathrm{~s}^{-2}$
A body weighs $72\; N$ on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth ?
If mass of earth decreases by $25 \%$ and its radius increases by $50 \%$, then acceleration due to gravity at its surface decreases by nearly ......... $\%$
Acceleration due to gravity is$ ‘g’ $on the surface of the earth. The value of acceleration due to gravity at a height of $32\, km$ above earth’s surface is ........ $g$. (Radius of the earth$ = 6400 \,km$)
At a height of $10 \,km$ above the surface of earth, the value of acceleration due to gravity is the same as that of a particular depth below the surface of earth. Assuming uniform mass density for the earth, the depth is ............. $km$
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)