Two massive, positively charged particles are initially held a fixed distance apart. When they are moved farther apart, the magnitude of their mutual gravitational force changes by a factor of n. Which of the following indicates the factor by which the magnitude of their mutual electrostatic force changes?
a. 1/n2
b. 1/n
c. n
d. n2

Respuesta :

c. n

The magnitude of the gravitational force is given by Newton's law of universal gravitation:

[tex]F_g=-G\frac{m_1m_2}{d^2}[/tex]

Here G is the gravitational constant, [tex]m_1, m_2[/tex] are the masses of the particles and d is the distance between them.

The magnitude of the electrostatic force is given by Coulomb's law:

[tex]F_e=k\frac{q_1q_2}{d^2}[/tex]

Here k is the Coulomb constant, [tex]q_1, q_2[/tex] are the chargues of the particles and d is the distance between them.

As can be seen, both forces are inversely proportional to the square of the distance. Thus, the factor is the same in both cases.