Coulomb's law vs. Newton's law of gravitation?

In summary, the two laws being compared are Coulomb's Law and Newton's 3rd Law. They are different in that Coulomb's Law deals with electric force while Newton's 3rd Law deals with action and reaction. However, both laws have similar formulas, using the inverse square law and involving quantities (q1*q2 or m1*m2) that represent the charges or masses of the objects involved. The similarity and difference can also be seen in the fact that both laws involve the distance between the objects (r^2), but use different units for this measurement. Additionally, the signs of the quantities (positive or negative) have physical significance in both laws, determining whether the force
  • #1
Brian S.
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What would be the easiest way to describe the similarities and differences between the two laws, other than the fact that their formulas are built similarly and they use different measurements. Any input would be great; I am currently having a brain block!

Coulombs Law:F=K (q1*q2)/r^2
Newtons 3rd Law: F=G(m1*m2)/r^2
 
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  • #2
Hint: is Newton's Gravity ever repulsive? What about the electrostatic force?
You can also just google "comparison coulomb Newton"
 
  • #3
Simon Bridge said:
Hint: is Newton's Gravity ever repulsive? What about the electrostatic force?
You can also just google "comparison coulomb Newton"
Thanks Simon, I have tried googling it and I didn't get quite the answer I was looking for.
 
  • #4
Notice how enormous the value of Coulomb's constant is compared to the gravitational constant.
 
  • #5
Oh? I found a whole lesson that lists similarities and differences and a raft of discussions on the same. More than enough to construct your own answer.
What sort of answer were you looking for?

Did you have a go following the hint given in the same post, the one in post #4?
 
  • #6
MohammedRady97 said:
Notice how enormous the value of Coulomb's constant is compared to the gravitational constant.

The constants have different units and thus cannot be compared directly. I could easily define a set of units where the numerical value of the gravitational constant is orders of magnitude larger than Coulomb's constant. The relevant comparison would come from comparing, e.g., the gravitational force between two electrons to the electric force between the same electrons. This would be a comparison of forces, and thus be independent of the units chosen.
 
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  • #7
Brian S. said:
What would be the easiest way to describe the similarities and differences between the two laws, other than the fact that their formulas are built similarly and they use different measurements. Any input would be great; I am currently having a brain block!

Coulombs Law:F=K (q1*q2)/r^2
Newtons 3rd Law: F=G(m1*m2)/r^2
Newton's 3rd Law of motion is not the law of gravitation. The third law is the law of action and reaction. The law of gravitation is a different beast altogether.

Can you list the points of similarity and dissimilarity that you have uncovered?
 
  • #8
You can also think about the inputs (q1 q2 vs m1 m2), discussing how the signs of the quantities have physical significance
 

Related to Coulomb's law vs. Newton's law of gravitation?

1. What is Coulomb's law and how does it differ from Newton's law of gravitation?

Coulomb's law is a fundamental law of physics that describes the electrostatic interaction between charged particles. It states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Newton's law of gravitation, on the other hand, describes the gravitational interaction between two objects with mass. It states that the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

2. Which law is stronger, Coulomb's law or Newton's law of gravitation?

Coulomb's law is much stronger than Newton's law of gravitation. This is because the force between charged particles is much stronger than the force between objects with mass. For example, the electrical force between two electrons is about 1036 times stronger than the gravitational force between them.

3. Can Coulomb's law and Newton's law of gravitation be used interchangeably?

No, these laws cannot be used interchangeably. They describe completely different physical phenomena and have different mathematical equations. While both laws involve an inverse square relationship, the constants and variables involved are different.

4. How do Coulomb's law and Newton's law of gravitation relate to each other?

While Coulomb's law and Newton's law of gravitation describe different phenomena, they are both based on the concept of force acting between two objects. In fact, Coulomb's law can be seen as a special case of Newton's law of gravitation, where one of the masses is much smaller than the other.

5. Are there any real-life examples where both Coulomb's law and Newton's law of gravitation are applicable?

Yes, there are many real-life examples where both laws are applicable. For example, the force of attraction between protons in an atomic nucleus is described by Coulomb's law, while the force of attraction between planets in our solar system is described by Newton's law of gravitation. Both laws are also used in engineering and technology, such as in the design of electrical circuits and the trajectories of spacecrafts.

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