Question

what will be the acceleration due to gravity on a planet whose mass is 4 times that of earth and in identical in size

Answer 1

Answer:

g=GM/R^24times masssog=4GM/R^2 =4*9.8=39.2m/s^2

Answer 2

Given :

Let , mass of earth be , m .

So , mass of planet X , $M=4m$ .

To Find :

The acceleration due to gravity on the planet .

Solution :

Let , radius of earth is R .

Therefore , radius of new planet is also R .

We know , acceleration due to gravity on earth surface is given by :

$g_e=\dfrac{Gm}{R^2}$

Now , acceleration on planet X is :

$g_x=\dfrac{GM}{R^2}\\\\g_x=\dfrac{G(4m)}{R^2}\\\\g_x=4\times \dfrac{Gm}{R^2}\\\\g_x=4\times g_e$

Now , $g_e = 9.8\ m/s^2$

$g_x=4\times 9.8\ m/s^2\\\\g_x=39.2\ m/s^2$

Therefore , the acceleration due to gravity on planet x is $39.2\ m/s^2$ .

Hence , this is the required solution .