Answer:
[tex]9.8m/s^2[/tex]
Explanation:
The acceleration due to gravity on earth is [tex]9.8m/s^2[/tex] regardless of the mass of the object. This means, in the absence of air resistance, both a 3000 kg object and a 300 kg will accelerate at the same rate of [tex]9.8m/s^2[/tex] towards earth.
The reason the acceleration due to gravity is the same for all masses is that by grace of nature, the inertial mass [tex]m[/tex] of the object from [tex]F= ma[/tex] equals the gravitational mass [tex]m[/tex] from [tex]F =G \dfrac{mM}{R^2}[/tex], resulting
[tex]ma=G\dfrac{mM}{R^2}[/tex]
[tex]\boxed{a=G\dfrac{M}{R^2}}[/tex]
which is the acceleration that only depends on the mass of earth and its radius, and not on the mass of the object.
