To solve this problem we will apply the concepts related to energy conservation. We will start by defining the expressions of the electric potential energy for a given charge (and for the electron). With this we can apply the conservation of kinematic energy. Our values are given as
The potential energy:
Here,
q = Charge
V = Voltage
Or specifically for an electron we can define it as,
Here,
e = Charge of electron
V = Voltage
Applying the energy conservation equations we have that the kinetic energy must be equivalent to the electric potential energy,
Here
v = Velocity
m = Mass
Rearranging,
Replacing,
For each electron the velocity is,
Therefore the velocity of the electron is
Energy: the capacity for vigorous activity; available power.
Kinetic Energy: the energy of a body or a system with respect to the motion of the body or of the particles in the system.
Law of Conservation of Energy: energy cannot be created or destroyed, but it can be transferred or transformed from one form to another.
Potential Energy: the energy of a body or a system with respect to the position of the body or the arrangement of the particles of the system.
Transfer: to move energy from one to another.
Transform: to change in form, appearance, or structure; metamorphose.
next time you need definitions quickly looking up a dictionary would be faster, anyways hopefully this can be helpful.
1) The electric field between the two plates is
. The potential difference between the plates is given by
where d is the separation between the plates. By using
we find
2) The work done by the electric field to move the electron by that distance is equal to the variation of electric potential energy of the electron:
where e is the electron charge. By substituting numbers, we find
Answer:
1 m/s^2
Explanation:
The formula for accleration is a=Δv/Δt
where, Δv = final velocity - initial velocity = 4 - 0 = 4
initial velocity = 0 since the car starts form rest and final velovity is 4 as the car goes from rest till 4 m/s
Δt = 4 since the car takes 4 seconds to reach a velocity of 4m/s
Hence, a = 4 m/s / 4 s = 1 m/s^2
Answer:
1.65 m
Explanation:
The motion of the ball is a projectile motion, so it is a parabolic motion with two independent motions:
- on the x-axis, a uniform motion with constant speed
- on the y-axis, a uniformly accelerated motion with constant acceleration downward.
First of all, we need to find the time t at which the ball has travelled halfway to the chatcher, i.e. at a distance of . This can be found by using the relationship between distance, time and velocity along the horizontal direction:
So now we can move to the vertical motion, and we can calculate the distance covered vertically by the ball while falling for t=0.58 s, by using: