The gravitational force is inversely proportional to the square of the distance..
The electrical force is inversely proportional to the square of the distance..
Explanation:
From the Newton's law of universal gravity, we understood that the force of attraction between the masses two objects is inversely proportional to the square of the distance apart. Mathematically, it is expressed as:
F = GM1M2/r²
Where:
M1 and M2 are the masses of two objects measured in kilograms (Kg).
G is the gravitational constant with a value of 6.67×10¯¹¹ Nm²/Kg²
r is the distance apart measured in metre (m).
F is the force of attraction measured in Newton (N).
From the equation:
F = GM1M2/r²
The force (F) is inversely proportional to the square of the distance (r) apart. This means that the greater the distance apart, the smaller the force of attraction and the smaller the distance apart, the greater the force of attraction between the masses of the object.
From Coulomb's Law, we understood that the force of attraction between two charged particles is inversely proportional to square of the distance. Mathematically, it expreessed as
F = Kq1q2/ r²
Where:
q1 and q2 are charges of two objects measured in coulomb (C) .
r is the distance apart measured in metre (m)
K is the electrostatic constant with a value of 9×10^9 Nm²/C²
F is the force measured in Newton (N).
From the equation:
F = Kq1q2/ r²
The force (F) is inversely proportional to the square of the distance (r) apart.. This implies that as the distance between the charged particles increase, the smaller the force of attraction between them and as the distance between the charged particles decrease, the greater the force of attraction between the two charged particles.
