The gravitational force is much larger than the electrical force for any distance between the particles.
Explanation:
The gravitational force between two particles is given by:
where
G is the gravitational constant
m1, m2 are the masses of the two particles
r is the separation between the two particles
The electric force between two particles is given by:
where
k is the Coulomb's constant
q1, q2 are the charges of the two particles
r is the separation between the two particles
In this problem, we are comparing the gravitational force and the electric force between a proton and a neutron.
We must immediately notice that the charge of the neutron is zero, since it is electrically neutral:
q = 0
This means that the electric force between the proton and the neutron is always zero, regardless of their distance. And therefore, since their masses is not zero (and the gravitational force is never zero), the correct answer is
The gravitational force is much larger than the electrical force for any distance between the particles.
Learn more about gravitational force:
About electrical force:
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