Can you merge these equations and get acceleration

In summary, the conversation discusses the equation m*a=k*Q1*Q2/r and its application to finding the acceleration of a charged body. It is noted that the force changes across distance and therefore the acceleration may not be constant. There is also mention of a second-order differential equation and a previous thread that may be helpful in finding a solution. It is ultimately concluded that while the formula for acceleration is valid for initial acceleration, it may not be accurate for ongoing acceleration due to changes in Coulomb's force law.
  • #1
locika
2
0
m*a=k*Q1*Q2/r
equalizing Newton's first law and coulomb's force to get acceleration of the specific charged body.
 
Physics news on Phys.org
  • #2
I see one equation. And yes, solving for acceleration is as simple as dividing one factor to the other side (note: you are missing the square on your factor 'r').
 
  • #3
brainpushups said:
I see one equation. And yes, solving for acceleration is as simple as dividing one factor to the other side (note: you are missing the square on your factor 'r').
Thanks, and because force changes across distance then acceleration wouldn't be constant so is this a valid formula
 
  • #4
locika said:
m*a=k*Q1*Q2/r
equalizing Newton's first law and coulomb's force to get acceleration of the specific charged body.
I trield very hard to solve this equation, i came up with numerical solution, but the exact solution is a bessel x'' = kQq/(x^2 + y^2), a second order differential equation, good luck !
 
  • #6
locika said:
m*a=k*Q1*Q2/r
equalizing Newton's first law and coulomb's force to get acceleration of the specific charged body.
For sure there are more competent members here to answer this but I don't think it is possible to merge these two equations since ther nature of the two forces involved is different.
 
  • #7
locika said:
Thanks, and because force changes across distance then acceleration wouldn't be constant so is this a valid formula

Answer: kind of.

The acceleration is valid for the 'initial' acceleration of the charges. The problem is not that the acceleration varies with position (of course, what you have is a differential equation), the problem is that, once the charges are accelerating, Coulomb's force law is no longer valid.
 
  • Like
Likes hackYou

1. Can you merge any two equations to get acceleration?

No, not all equations can be merged to get acceleration. The equations must have variables that represent the same physical quantities and be compatible with each other.

2. What types of equations can be merged to get acceleration?

Equations that involve distance, time, and velocity can be merged to get acceleration. This includes equations such as a = (vf - vi)/t and a = 2(xf - xi)/t^2 where a represents acceleration, vf and vi represent final and initial velocities, xf and xi represent final and initial positions, and t represents time.

3. How do you merge two equations to get acceleration?

To merge two equations and get acceleration, you must manipulate the equations algebraically to eliminate one variable. This can be done by multiplying or dividing both equations by a constant or using substitution.

4. Can you merge more than two equations to get acceleration?

Yes, you can merge more than two equations to get acceleration as long as the equations involve the same physical quantities and are compatible with each other.

5. What are some real-life examples of merging equations to get acceleration?

Some examples include calculating the acceleration of a car by merging equations for distance, time, and velocity, or determining the acceleration of a falling object by merging equations for distance, time, and acceleration due to gravity. These calculations are often used in physics and engineering to analyze and predict the motion of objects.

Similar threads

  • Mechanics
Replies
4
Views
634
Replies
35
Views
3K
Replies
117
Views
6K
Replies
27
Views
1K
Replies
8
Views
1K
  • Classical Physics
Replies
17
Views
2K
  • Mechanics
2
Replies
39
Views
2K
Replies
6
Views
1K
Replies
8
Views
317
Back
Top