Answer:
Explanation:
We know that the electric force equation is:

- k is the electric constant

- r is the distance between the particles
- q1 and q2 are the particle
Now, we have three particles, the first one at x=0, the second one at x=2a and the third in some place between these two particle.
1. Let's find the electric force between the first particle and the third particle.



r(31) is the distance between 3 and 1
2. Now, let's find the electric force between the third particle and the second particle.



r(32) is the distance between 3 and 2.
Now,
or 
The net force must be zero so:
![F_{31}+F_{32}=0[\tex][tex]k\frac{2q^{2}}{r_{31}^{2}}-k\frac{q^{2}}{r_{32}^{2}}=0[\tex] [tex]kq^{2}(\frac{2}{r_{31}^{2}}-\frac{1}{r_{32}^{2}})=0[\tex] [tex]kq^{2}(\frac{2}{r_{31}^{2}}-\frac{1}{(2a-r_{31})^{2}})=0[\tex] It means that:[tex]\frac{2}{r_{31}^{2}}-\frac{1}{(2a-r_{31})^{2}}](https://tex.z-dn.net/?f=F_%7B31%7D%2BF_%7B32%7D%3D0%5B%5Ctex%5D%3C%2Fp%3E%3Cp%3E%5Btex%5Dk%5Cfrac%7B2q%5E%7B2%7D%7D%7Br_%7B31%7D%5E%7B2%7D%7D-k%5Cfrac%7Bq%5E%7B2%7D%7D%7Br_%7B32%7D%5E%7B2%7D%7D%3D0%5B%5Ctex%5D%20%20%20%3C%2Fp%3E%3Cp%3E%5Btex%5Dkq%5E%7B2%7D%28%5Cfrac%7B2%7D%7Br_%7B31%7D%5E%7B2%7D%7D-%5Cfrac%7B1%7D%7Br_%7B32%7D%5E%7B2%7D%7D%29%3D0%5B%5Ctex%5D%20%3C%2Fp%3E%3Cp%3E%5Btex%5Dkq%5E%7B2%7D%28%5Cfrac%7B2%7D%7Br_%7B31%7D%5E%7B2%7D%7D-%5Cfrac%7B1%7D%7B%282a-r_%7B31%7D%29%5E%7B2%7D%7D%29%3D0%5B%5Ctex%5D%20%3C%2Fp%3E%3Cp%3EIt%20means%20that%3A%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cfrac%7B2%7D%7Br_%7B31%7D%5E%7B2%7D%7D-%5Cfrac%7B1%7D%7B%282a-r_%7B31%7D%29%5E%7B2%7D%7D)
We just need to solve it for r(31)


Therefore the distance from the origin will be:
I hope it helps you!
Answer:
2 revolutions
Explanation:
Assume that when she runs off the edge of the 8.3m high cliff, her vertical speed is 0. So gravitational acceleration g = 9.8m/s2 is the only thing that makes her fall down. So we can use the following equation of motion to calculate the time it takes for her to fall down:

where s = 8.3 m is the distance that she falls, t is the time it takes to fall, which is what we are looking for


Since she rotates with an average angular speed of 1.6rev/s. The number of revolutions she would make within 1.3s is

Yes, that's right. It's the 'Planck' length, not the 'Planet' length.
You could easily find these with a web search. But in gratitude
for the bountiful 5 points, I've saved you the trouble.
AND guess what ! By doing that, I learned something, and
you didn't.
Speed of light (c): 299,792,458 meters per second
Gravitational constant (G): 6.67 x 10⁻¹¹ newton-meter²/kilogram²
Planck's Konstant (h): 6.63 x 10⁻³⁴ joule-second
Planck Length: 1.6 x 10⁻³⁵ meter
(about 10⁻²⁰ the size of a proton)
Planck Time: 10⁻⁴³ second
(about the time it takes to travel
a Planck Length at the speed of light)
Answer:
3: force acting on an object over time
Explanation:
The impulse formula is: change in momentum = force x time
Δp = f x t