Question

10. Suppose a planet exists where mass and radius both are
half those of the earth. Calculate the acceleration due to
gravity on the surface of this planet. Given ge
= 9.8 ms-2​

Answer 1

Answer:

19.6 m/s^2

Explanation

under normal circumstances

g = GM/R^2 = 9.8 m/s^2 --- (1)

but, according to question,

new mass (M') =M/2, and new radius(R') = R/2

In this case,

acceleration due to gravity = GM'/(R')^2

= G(M/2)/(R^2/4)

=4GM/2R^2

=2(GM/R^2)

Now from (1),

acceleration due to gravity is 2g = 9.8 *2 = 19.6 m/s^2