Question

the acceleration due to gravity of a planet is g . if mass of the planet become double and the radius became half then what will be the new acceleration due to gravity of the planet .​

Answer 1

8 times

As g is directly proportional to mass of planet and inversely proportional to square of radius.

Answer 2

Answer:

8 times

Explanation:

$M_1=M\\r_1=r$

$g_1= \frac{Gm}{r^2}$------------------1

Now,

$M_2=2M$

$r_2=\frac{r}{2}$

$g_2=\frac{2GM}{(\frac{r^2}{4}) }=\frac{8GM}{r^2} =8g_1$