Electric Fields and Kinetic Energy of protons

In summary, the problem involves finding the magnitude and direction of the electric field needed to stop protons with a kinetic energy of 3.25 x 10^-15 J in a distance of 1.25 m. The relevant equations are Felectric = kC (q*q/r^2), Electric Field= Felectric/q, Electric Field= kC (q/r^2), Velocityfinal= velocityInitial + a*t, and Velocityfinal^2 = VelocityInitial^2 + 2a(d). The solution involves finding the work done by the electric force, the final kinetic energy, and using the equation E = f/q.
  • #1
hirschy
7
0

Homework Statement



Each of the protons in a particle beam has a kinetic energy of 3.25 x 10^-15 J. What are the magnitude and direction of the electric field that will stop these protons in a distance of 1.25 m?


Homework Equations



Felectric = kC (q*q/r^2)
Electric Field= Felectric/q
Electric Field= kC (q/r^2)
Velocityfinal= velocityInitial + a*t
Velocityfinal^2 = VelocityInitial^2 + 2a(d)



The Attempt at a Solution



I need help with this.
 
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  • #2
Work done by the electric force = change in the KE.
Initial KE is given. Final KE = ...?
Work done by the electric force F = ...?
And as you have stated E = f/q.
Now try.
 

Related to Electric Fields and Kinetic Energy of protons

1. What is an electric field and how does it affect protons?

An electric field is a force field created by electrically charged particles. It can exert a force on any charged particle within its range, including protons. The direction and strength of the electric field determine the direction and magnitude of the force on the proton.

2. How is the kinetic energy of a proton related to an electric field?

The kinetic energy of a proton is directly related to the electric field it is placed in. As the proton moves through the electric field, it gains or loses kinetic energy depending on the direction of the force acting on it. The stronger the electric field, the more potential for changes in kinetic energy.

3. Can protons have different amounts of kinetic energy in the same electric field?

Yes, protons can have different amounts of kinetic energy in the same electric field. This is because the kinetic energy of a proton is also determined by its initial velocity and mass. Protons with different initial conditions will experience the electric field differently and have varying amounts of kinetic energy.

4. How does the electric field affect the motion of a proton?

The electric field can either accelerate or decelerate the motion of a proton, depending on its direction. If the electric field is in the same direction as the proton's motion, it will accelerate the proton, increasing its kinetic energy. If the electric field is in the opposite direction of the proton's motion, it will decelerate the proton, decreasing its kinetic energy.

5. What is the relationship between electric potential and kinetic energy of protons?

The electric potential is a measure of the potential energy per unit charge of a particle in an electric field. The kinetic energy of a proton is directly related to the electric potential it is placed in. As the electric potential changes, the kinetic energy of the proton will also change, either increasing or decreasing depending on the direction of the electric field.

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