Answer:
9.78 m/s²
Explanation:
To solve this, we use the gravitational formula
g = GM/r², where
g = acceleration due to gravity
G = gravitational constant
M = mass of the planet
r = radius of the planet
From the question, we got that the mass of the planet is
M = 9ME, where ME = 5.95*10^24
M = 9 * 5.95*10^24
M = 5.355*10^25 kg
Also, the Radius of the planet, R = 3RE, where RE = 6.37*10^6
R = 3 * 6.37*10^6
R = 1.911*10^7 m
On applying the values of both R and M to the equation, we get
g = GM/r²
g = (6.67*10^-11 * 5.355*10^25) / (1.911*10^7)²
g = 3.57*10^15/3.65*10^14
g = 9.78 m/s²
Therefore, the acceleration due to gravity on the planet is 9.78 m/s²
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