The table lists the mass and charge of a proton and a neutron.
2 answers:
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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Answer:
<em>b. The force is 6 times the original</em>
Explanation:
<u>Coulomb's Law </u>
The electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between the two objects.
Written as a formula:
Where:
q1, q2 = the objects' charge
d= The distance between the objects
Suppose one of the charges is doubled, i.e., q1=2q1 and the other charge is tripled (q2'=3q2). The new force F' would be:
Operating:
Substituting the original value of the force:
b. The force is 6 times the original