Answer :

skyluke89

The similarities and the differences between gravitational and electric force are listed below

Explanation:

- The magnitude of the gravitational force between two objects is given by Newton's law of gravitation:

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where

[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant

[tex]m_1, m_2[/tex] are the masses of the two objects

r is the separation between them

- Coloumb's law gives instead the strength of the electrostatic force between two charged objects, which is

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

where:

[tex]k=8.99\cdot 10^9 Nm^{-2}C^{-2}[/tex] is the Coulomb's constant

[tex]q_1, q_2[/tex] are the two charges

r is the separation between the two charges

By comparing the two equations, we find the following similarities:

  • Both the forces are inversely proportional to the square of the distance between the two objects, [tex]F\propto \frac{1}{r^2}[/tex]
  • Both the forces are proportional to the product between the "main quantity" of each force, which is the mass for the gravitational force ([tex]F\propto m_1 m_2[/tex]) and the charge for the electric force ([tex]F\propto q_1 q_2[/tex]

Instead, we have the following differences:

  • The gravitational force is always attractive, since the sign of [tex]m[/tex] is always positive, while the electric force can be either attractive or repulsive, since the sign of [tex]q[/tex] can be either positive or negative
  • The value of the gravitational costant G is much smaller than the value of the Coulomb's constant, so the gravitational force is much weaker than the electric force

Learn more about gravitational force and electric force:

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brekv

Answer:

new=attractive

Coul=attractive and repulsive

Both proportional to inverse

Explanation:

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