Answer:
0.484 m/s²
Step-by-step explanation:
To solve this question, we would apply the formula for calculating gravitational acceleration at any distance.
g = GM/r², where
g = acceleration due to gravity
G = gravitational constant
r = radius of the meteoroid
Radius of the earth is given as 6371 km
The meteoroid is located at a distance 3.5 times the radius of the earth, so
r = R + 3.5R = 4.5R
r = 28670 km
Mass of the earth is, 5.97*10^24 kg
Now, we proceed to substitute our values into the earlier equation
g = GM/r²
g = (6.67*10^-11 * 5.97*10^24) / 28670²
g = 398.2*10^12 / 822*10^12
g = 0.484 m/s²
Thus, it's acceleration due to earth's gravitation is 0.484 m/s²