Eletric force and gravitational force question

In summary, the conversation discusses the problem of determining the number of extra electrons needed on both Earth and the moon in order to cancel out the gravitational attraction between the two bodies using electric repulsion. It is assumed that the number of extra electrons on each body is proportional to their respective radial dimensions. The relevant equations for this problem are F=kqq/r^2 and F=GmM/r^2, and with the additional constraint that q_earth is 6.38 times q_moon. The suggested approach is to set these equations equal to each other and solve for the number of extra electrons on each body.
  • #1
strawberrysk8
27
0

Homework Statement



How many extra electrons would we have to place on Earth and moon so the electric repulsion between these bodies cancels their gravitational attraction? Assume that the numbers of extra electrons on the Earth and on the moon are in the same propotion as the radial dimensions of these bodies (6.38:1.74).

Homework Equations





The Attempt at a Solution

 
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  • #2
strawberrysk8 said:

Homework Statement


How many extra electrons would we have to place on Earth and moon so the electric repulsion between these bodies cancels their gravitational attraction? Assume that the numbers of extra electrons on the Earth and on the moon are in the same propotion as the radial dimensions of these bodies (6.38:1.74).

Homework Equations





The Attempt at a Solution


How would you think to address the problem? Can you think of any relevant formulas?
 
  • #3
F=kqq/r^2

F=GmM/r^2

Constants: k,G,m,M,r

what is q1 and q2?
 
  • #4
strawberrysk8 said:
F=kqq/r^2

F=GmM/r^2

Constants: k,G,m,M,r

what is q1 and q2?

Don't forget the additional constraint from the OP that q_earth is 6.38 to q_moon's 1.74.

[tex]q__{earth} [/tex]= 6.38/1.74 * [tex]q__{moon}[/tex]

With all the parameters but charge determined then what do you suggest doing with the two equations?
 
  • #5
set them equal to each other

kqq/r^2 = GmM/r^2

kqq = GmM

k(6.38/1.74)q^2 = GmM

solve for q(moon)

then solve for q(earth)

what is the extra electons?
 
  • #6
oh! i got it! thank you for the advice :)
 
  • #7
strawberrysk8 said:
oh! i got it! thank you for the advice :)

Congrats then and good luck.
 

1. What is the difference between electric force and gravitational force?

The electric force is the force of attraction or repulsion between charged particles, while gravitational force is the force of attraction between any two objects with mass. Electric force is much stronger than gravitational force, but it only acts on charged particles.

2. How do electric and gravitational forces affect the motion of objects?

Both electric and gravitational forces can cause objects to accelerate. The direction of the acceleration depends on the direction of the force and the mass of the object. Objects with opposite charges or masses will accelerate towards each other, while objects with like charges or masses will accelerate away from each other.

3. Can electric and gravitational forces cancel each other out?

Yes, it is possible for electric and gravitational forces to cancel each other out. This occurs when there is an equal and opposite force acting on an object. For example, if a positively charged object and a negatively charged object are placed close together, the electric force between them will be canceled out by the gravitational force.

4. How is the strength of electric and gravitational forces determined?

The strength of electric force is determined by the magnitude of the charges and the distance between them. The strength of gravitational force is determined by the masses of the objects and the distance between them. The greater the charge or mass, the stronger the force will be. The farther apart the objects are, the weaker the force will be.

5. What is the role of electric and gravitational forces in the universe?

Both electric and gravitational forces play important roles in the universe. Electric forces are responsible for holding atoms and molecules together, as well as for many chemical reactions. Gravitational force is responsible for the formation of planets, stars, and galaxies, and for keeping them in orbit. Without these forces, the universe as we know it would not exist.

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