Answer:
The acceleration due to gravity of that planet is, gₐ = 1.25 m/s²
Explanation:
Given that,
Mass of the planet, m = 1/2M
Radius of the planet, r = 2R
Where M and R is the mass and radius of the Earth respectively.
The acceleration due to gravity of Earth, g = 10 m/s²
The acceleration due to gravity of Earth is given by the relation,
g = GM/R²
Similarly, the acceleration due to gravity of that planet is
gₐ = Gm/r²
where G is the Universal gravitational constant
On substituting the values in the above equation
gₐ = G (1/2 M)/4 R²
= GM/8R²
= 1/8 ( 10 m/s²)
= 1.25 m/s²
Hence, the acceleration due to gravity of that planet is, gₐ = 1.25 m/s²
