Answer:
A. The force of attraction will also increase i.e double.
B. The force of attraction will increase by a multiple of 4.
C. The force of attraction will decrease by a factor of 4
Step-by-step explanation:
We'll begin by writing the formula for calculating the gravitational force between two objects. This is given below:
F = GM₁M₂/r²
Where:
F: is the force of attraction between the two objects.
G: is the gravitational constant.
M₁ and M₂: are the masses of the two objects.
r: is the distance between two objects.
F = GM₁M₂/r²
From the formula, we can say that:
The force (F) of the attraction between the two objects is directly proportional to the masses (M₁ and M₂) of the objects and inversely proportional to the square of the distance between (r) the two objects.
A. Determination of the force of attraction when the mass of one is doubled.
Since the force (F) is directly proportional to the the masses (M₁ and M₂) of the objects, if the mass of one is double, the force of attraction will also increase i.e double.
B. Determination of the force of attraction when the masses of both is doubled.
Since the force (F) is directly proportional to the the masses (M₁ and M₂) of the objects, if the masses of both is double, the force of attraction will also increase by a multiple of 4.
C. Determination of the force of attraction between the distance between them is doubled.
Since the force (F) of the attraction between the two objects is inversely proportional to the square of the distance between (r) the two objects. If the distance between them is doubled, the force of attraction will decrease by a factor of 4