Question

If the mass of a planet is 6 x 10^26kg and its radius is 6.4 x 10^3 km, what is the estimated acceleration due to gravity on the surface of the planet​

Answer 1

Answer :

Mass of planet = 6×10$^{26}$kg

Radius of planet = 6.4×10³km

We have to find acceleration due to gravity on the surface of the planet$.$

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◈ Acceleration due to gravity of planet of mass M and radius R is given by

• g = GM/R²

g denotes acc. due to gravity

G denotes gravitational constant

$\dashrightarrow\sf\:g=\dfrac{GM}{R^2}$

$\dashrightarrow\sf\:g=\dfrac{(6.67\times 10^{-11})(6\times 10^{26})}{(6.4\times 10^6)^2}$

$\dashrightarrow\sf\:g=\dfrac{40.02\times 10^{15}}{4.096\times 10^{13}}$

$\dashrightarrow\bf\:g=977\:ms^{-2}$