Question

A particle of rest mass mo and charge q is accelerated from rest by a uniform (in the lab frame) electric field Ei. What are

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution:

a)

As we know;

F=ma (Newton's 2nd law )

and F = qE =charge x electric field

=> qEoi = modv/dt

=> v = {qtEo /mo } i

b)

v(new) = {qtEo /mo } i - vok

Add a comment
Know the answer?
Add Answer to:
A particle of rest mass mo and charge q is accelerated from rest by a uniform (in the lab frame) electric field Ei. What are the velocity and position of the particle (as a function of time) a. in th...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. A particle of mass m and charge q is dropped from height of 3h above...

    1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) (0,3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative r direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position...

  • 1. A particle of mass m and charge q is dropped from height of 3h above...

    1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) = (0, 3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative x direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed...

  • A free particle, having rest mass Mo, is in vacuum and initially at rest in the lab frame S. It undergoes an accele...

    A free particle, having rest mass Mo, is in vacuum and initially at rest in the lab frame S. It undergoes an acceleration under the action of a constant pure force F = (fo, fr, 0.0), where 0 c dt Find its 4-velocity U as a function of time and force. Sketch the graphs of the dependence of normalised 3-velocity 3 v/c and the Lorentz factor y(t) of the particle as a function of time t A free particle, having...

  • A proton has be accelerated from rest through a uniform electric field. If the final velocity...

    A proton has be accelerated from rest through a uniform electric field. If the final velocity of the proton is 5x10^5 m/s, what is the potential difference across the electric field?

  • A particle with charge q exists in a region with a uniform electric field Ē =...

    A particle with charge q exists in a region with a uniform electric field Ē = Eî. There is no magnetic field. The particle’s initial velocity is ū = voĉ. The initial position is at the origin. a. Write the differential equation of motion using Newton's second law. Write it in vector form, and then write an equation for each component. b. Find x(t), y(t), and z(t).

  • 3. A particle of mass m, charge q, and inital velocity vo is injected into uniform...

    3. A particle of mass m, charge q, and inital velocity vo is injected into uniform electric field E, find the position trajectory for the motion of the particle. Only after arriving at the vector equations for the trajectory, find the position of the particle after 5s, when E - 2i - 3j +4k vo- (2i -3j + 4k)1000 1.0 × 10-3 6.02 x 1023 q-1.6 x 10-19 (mass of a single H+)

  • A Cycloidal Path A particle with mass m and positive charge q starts from rest at the origin as s...

    Please help, I am struggling! A Cycloidal Path A particle with mass m and positive charge q starts from rest at the origin as shown in the figure below. There is a uniform electric field = Eo? and a uniform magnetic field B = BoZ The path of the charged sketched below is a cycloid whose radius of curvature at the top points is twice the y-coordinate at that level. This path is exactly the same as the path of...

  • Electric field. 6. An electron (charge q has a uniform field E- -Ej where E is...

    Electric field. 6. An electron (charge q has a uniform field E- -Ej where E is a positive constant. The electron has mass m and, as shown below, is initially moving exactly horizontally with an initial velocity vo -Voi. The chamber is a horizontal distance L long. e) enters a capacitor which (a) Determine the r and y components of the electron's acceleration in terms of the given variables Fet (b) Determine the amount of time the electron spends in...

  • 1. An electron (q = -1.6x10-19 C, m=9.11x10-31 kg) is placed in an electric field of...

    1. An electron (q = -1.6x10-19 C, m=9.11x10-31 kg) is placed in an electric field of magnitude 3.52x104N/C which points in the positive z direction. Calculate the magnitude and direction of the acceleration of the electron. 2. An electron is initially moving in the +z direction, with a speed v=2.54x105 m/s at z=0. In the region between z=+1.50 cm and z=+2.50 cm, there is a uniform electric field of magnitude 4.10x104 N/C in the +x direction. Outside that region (z...

  • A small particle with positive charge q = +4.25 x 10 ° C and mass m...

    A small particle with positive charge q = +4.25 x 10 ° C and mass m = 7.00 x 10 kg is moving in a region of uniform electric and magnetic fields. The magnetic field is B = 4.00 T in the +z-direction, The electric field is also in the +z-direction and has magnitude E = 60.0 N/C. At time t = 0 the particle is on the y-axis at y= +1.00 m and has velocity v = 30.0 m/s...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT