First of all, not to get confused with terminology, unit vectors are called unit vectors because they have a unit length. This has absolutely nothing to do with physical units.
Now, if you are talking about physical units like m, m/s or N. Then it depends on what physical vector quantity you’re talking about. If it’s the displacement vector then the i,j,k will have units of length i.e. meters (m). If it’s the force vector then the i,j,k will have units of force i.e. newtons (N).
But if you are talking about vectors in math, then they are unitless. So, we just pretend the physical unit is 1.
Again stressing that this has nothing to do with their name “unit vectors”. They are called that because the unit, AKA the number “1”, is the value of their magnitude/length.
They have magnitude 1, bearing the unit of physical quantity they represent.
To solve this problem we will apply the concepts related to voltage as a dependent expression of the distance of the bodies, the Coulomb constant and the load of the bodies. In turn, we will apply the concepts related to energy conservation for which we can find the speed of this
Here,
k = Coulomb's constant
q = Charge
r = Distance to the center point between the charge
From each object the potential will be
Replacing the values we have that
Now the potential two is when there is a difference at the distance of 0.1 from the second charge and the first charge is 0.1 from the other charge, then,
Applying the energy conservation equations we will have that the kinetic energy is equal to the electric energy, that is to say
Here
m = mass
v = Velocity
q = Charge
V = Voltage
Rearranging to find the velocity
Replacing,
Therefore the speed final velocity of the electron when it is 10.0 cm from charge 1 is
I think it is first but don’t take my word for it
I believe this is it
The centripetal force is given by
F = mv^2 / r
When v' = v/2,
F' = mv'^2/r = m(v/2)^2/r = mv^2/4r = F/4.
So the centripetal force is divided by 4.