Mass of the planet = 9.59 * 10²⁴ Kg
Given that,
Mass of the object, m = 0.5 kg
Weight of the object, W = 20 N
Radius of the planet, r = 4*10⁶ m
The weight of an object is given by :
W = m*g
g is the acceleration due to gravity on the surface of Planet
g = W/m
= 20/0.5
=40 m/s²
The expression for g is given by :
g = GM/r²
M= (r²g) / G
M = 9.59 * 10²⁴ Kg
So, the mass of the planet X is 9.59 * 10²⁴ Kg. Hence, this is the required solution.
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