Kinetic Energy of Charged Particle

In summary, the kinetic energy of particle B can be found by using conservation of energy to calculate the difference between the potential energy at the initial and final distances. This results in a kinetic energy of 32.7384 J, which is half of the total system's kinetic energy.
  • #1
soccerj17
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[SOLVED] Kinetic Energy of Charged Particle

Homework Statement


Particles A (of mass m and charge Q) and B (of m and charge 5Q) are released from rest with the distance between them equal to 0.9976 m. If Q=33e-6 C, what is the kinetic energy of particle B at the instant when the particles are 2.9976 m apart?


Homework Equations


U=kq1q2/r
K=(mv^2)/2
ΔU+ΔK=0
F=ma

The Attempt at a Solution


I solved for the potential energy at both distances using U=kq1q2/r to find Ui=49.0683 J and Uf=16.3299 J. Then I used conservation of energy to find K so K=Ui-Uf and got K to be 32.7384 J. But I'm not sure how to get just the kinetic energy of particle B. I tried to sum the forces and use Newton's third law to find acceleration to see if that would help but I don't know how to find it without knowing the mass. I'm not sure if maybe I have to do a ratio to find the energy? I don't know what to do.
 
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  • #2
nevermind, i figured out its just half of the system kinetic energy
 
  • #3


The kinetic energy of particle B can be found by using the equation K=(mv^2)/2, where m is the mass of particle B and v is its velocity. We can use the given information about the charges and distances to find the force acting on particle B due to particle A, and then use F=ma to find the acceleration of particle B. The mass of particle B can be found using the given information about its charge and the charge-to-mass ratio of an electron. Once the mass and acceleration of particle B are known, its kinetic energy can be calculated using the above equation.
 

1. What is kinetic energy of a charged particle?

Kinetic energy of a charged particle is the energy that a particle possesses due to its motion. It is a type of energy that is associated with the movement of charged particles, such as electrons, protons, and ions.

2. How is the kinetic energy of a charged particle calculated?

The kinetic energy of a charged particle can be calculated using the equation KE = (1/2)mv^2, where m is the mass of the particle and v is its velocity. This equation is based on the principles of classical mechanics and applies to both charged and uncharged particles.

3. What factors affect the kinetic energy of a charged particle?

The kinetic energy of a charged particle is affected by its mass, velocity, and electric charge. As the mass or velocity increases, the kinetic energy also increases. Additionally, a particle with a higher electric charge will have a greater kinetic energy compared to a particle with a lower electric charge, given the same mass and velocity.

4. How does the kinetic energy of a charged particle relate to its electric potential energy?

The kinetic energy of a charged particle is related to its electric potential energy through the conservation of energy principle. As a charged particle moves through an electric field, it will experience a change in its potential energy, which is then converted into kinetic energy. This means that as the potential energy increases, the kinetic energy decreases, and vice versa.

5. Can the kinetic energy of a charged particle be converted into other forms of energy?

Yes, the kinetic energy of a charged particle can be converted into other forms of energy, such as thermal energy or electromagnetic radiation. This conversion often occurs when the charged particle collides with other particles or interacts with a magnetic field. In these situations, some or all of the kinetic energy is transferred to the surrounding environment.

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