Question

If the acceleration due to gravity on a planet is $6.67m{s}^{-2}$ and its radius is $4\times {10}^6$m then the mass of the planet is __________.

• A. $16\times {10}^{23}kg$
• B. $726\times {10}^{2}3kg$
• C. $16\times {10}^{24}kg$
• D. $26\times {10}^{24}kg$

Answer 1

The correct option is A $16\times {10}^{23}kg$

we know , accelaration due to gravity $g=\frac{GM}{R^2}$

Where G= gravitational constant,

M= mass of the plant

R=distance from the centre of mass

$M=\frac{g{R}^2}{G}$

$\frac{6.67\times {(4\times {10}^6)}^2}{6.67\times {10}^{-11}}=16\times {10}^{23}$