Question

the mass of two planets are in the ratio 2:3 their radii are in the ratio 3:4 the acceleration due to gravity on the planets are in the ratio?​

Answer 1

Answer:

Acceleration Due to Gravity is in the ratio = 32 : 27

Explanation:

We Have :-

Ratio of Mass of planets = 2:3

Ratio of Radii of planets = 3:4

To Find :-

Acceleration due to Gravity

Formula Used :-

g = GMm / r ²

g = 4/3 πρGr

ρ = density of Earth

r = Radius of Earth

Solution :-

$\frac{g_{1} }{g_{2} } = {\frac{M_{1} }{M_{2} }*\frac{r_{2}^{2} }{r_{1}^{2} } } \\\\= \frac{2}{3} * \frac{4^{2} }{3^{2} }$

$=\frac{32}{27}$

Acceleration Due to Gravity is in the ratio = 32 : 27