Answer :
Answer:
In outer space, or anywhere in the universe, the acceleration due to gravity at a specific point is determined by the gravitational field present at that location, not by the mass of the object experiencing the acceleration.
Given the information:
The acceleration due to gravity for a 1 kg mass is 2 m/s².
The acceleration due to gravity, denoted as
g, is a property of the gravitational field and is the same for all objects at a given location, regardless of their mass. This is because the gravitational force experienced by an object (which is dependent on its mass) is proportional to its mass, and the acceleration due to gravity is calculated as:
=
g=
m
F
where
F is the gravitational force and
m is the mass of the object.
Thus, if an object of mass 10 kg is placed at the same point in space where a 1 kg object experiences an acceleration due to gravity of 2 m/s², the 10 kg object will also experience an acceleration of 2 m/s². The mass of the object does not change the acceleration due to gravity; it only changes the gravitational force experienced by the object.
Justification:
The force
F due to gravity on an object of mass
m is given by Newton's law of gravitation:
=
×
F=m×g
Where:
F is the gravitational force,
m is the mass of the object,
g is the acceleration due to gravity.
Since
g is the same for any mass at that location, the mass of the object does not affect the value of
g. Therefore, both the 1 kg and 10 kg masses experience the same acceleration due to gravity at that point in space, which is 2 m/s².
Explanation:
