Seperation effects on the forces of gravity and eletricity

In summary, the gravitational force between two charged pellets pulled apart to twice their original separation will be immensely smaller than the electrical force. When pulled apart, the gravitational force will change by a greater factor compared to the electrical force, which will change by a factor of 1/4. Therefore, the electrical force is likely to be larger and will change by a smaller factor when the distance between the pellets is doubled.
  • #1
Tricause
8
0

Homework Statement


Two charged pellets are pulled apart to twice their original separation. (a) Which is likely to be larger, the gravitational force or the electrical force between them? Why? (b) Which will change by a greater factor when they are pulled apart, the gravitational force or the electrical force between them? Why?


Homework Equations


Fg = (G x m1 x m2) / r2
Fe = (K x q1 x q2) / r2


The Attempt at a Solution


a) Well, assuming 6.673 × 10−11 for the constant of G and 8.987 x 10 9 for the constant of K, I would assume that the electrical force would be higher.
b) I am assuming that they would change at the same factor when they are pulled apart.

Am I assuming correct or am I wrong?
 
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  • #2
gravitational force is immmmmmmensely SMALLER than the electrical force.

remember, unless you are working with an extremely large mass, the electrical force will always be larger. plug in your value for mass and charge into the two force equations.
 
  • #3
This type of question basically asks you what happens to the force when the distance is doubled. To see it, write
Fe = (K x q1 x q2) / r2
and then write it again replacing r with (2r). Do it with a red 2 if you can. Then you try to factor the 2 out so it sits in front of the rest of the stuff. In this case you'll get
Fe2 = (K x q1 x q2) / (2r)2 = 1/2^2*(K x q1 x q2) / r2 = 1/4*Fe
showing that the new force at double the distance is 1/4 of the original force.
 

Related to Seperation effects on the forces of gravity and eletricity

1. How does separation affect the force of gravity between two objects?

Separation does not directly affect the force of gravity between two objects. The force of gravity is determined by the masses of the objects and the distance between them, but not by their separation. However, if the separation between the objects changes, the force of gravity will also change accordingly.

2. Does separation affect the force of electricity between two charged objects?

Yes, separation can affect the force of electricity between two charged objects. The force of electricity, also known as the electrostatic force, depends on the amount of charge on each object and the distance between them. If the separation between the objects increases, the force of electricity will decrease, and vice versa.

3. Can separation cause a change in the strength of gravity or electricity?

Yes, separation can cause a change in the strength of gravity or electricity. As mentioned before, the force of gravity and electricity are both affected by the distance between two objects. If the separation between the objects changes, the strength of these forces will also change accordingly.

4. How are gravity and electricity related to each other when it comes to separation effects?

Gravity and electricity are both fundamental forces of nature that are affected by separation. While gravity is a force between any two objects with mass, electricity is a force between two charged objects. Both forces follow the inverse square law, meaning that the force weakens as the separation between the objects increases.

5. Is there a specific distance at which separation has the most significant effect on the forces of gravity and electricity?

There is no specific distance at which separation has the most significant effect on the forces of gravity and electricity. The strength of these forces will always be affected by the distance between two objects, regardless of the specific distance. However, in some cases, such as in electrostatic attraction or gravitational attraction, the forces may be stronger when the objects are closer together.

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