Velocity of a proton after accelerated through potential

Click For Summary
SUMMARY

A proton accelerated from rest through a potential difference of 6.3 × 105 V achieves a final speed calculated using the work-energy principle. The relevant formula is W = qV, where W represents work, q is the charge of the proton, and V is the potential difference. The kinetic energy (KE) gained by the proton is equal to the work done by the electric field. The mass of the proton is 1.673 × 10-27 kg, which is essential for determining the final speed in meters per second.

PREREQUISITES
  • Understanding of basic physics concepts, particularly kinetic energy.
  • Familiarity with electric potential and work-energy principles.
  • Knowledge of the charge of a proton (approximately 1.602 × 10-19 C).
  • Ability to perform calculations involving mass and velocity.
NEXT STEPS
  • Calculate the final speed of a proton using the formula v = √(2qV/m).
  • Explore the relationship between electric potential and kinetic energy in particle physics.
  • Learn about the implications of accelerating charged particles in electric fields.
  • Investigate other applications of the work-energy principle in different contexts.
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and particle dynamics, as well as educators seeking to clarify concepts related to electric potential and kinetic energy.

Taryn
Messages
63
Reaction score
0
hey Hoping that someone could possibly help me start this problem... I don't know which formula to use... maybe something to do with Kinetic energy... but like I said I am not sure how to start this problem!
Thanks for your time... here is the question!

A proton is accelerated from rest through a potential of 6.3 × 105 V. What is its final speed in m/s? (mp = 1.673 × 10-27 kg.)

Its really simple I know but for someone reason it has me stumped
 
Physics news on Phys.org
Hint: W = qV
where V is p.d and q the charge.
The work done by the p.d is converted to the KE of the particle.
 
thanks I think me got the answer now thanks!
 

Similar threads

Harmonic potential exercise with perturbation theory
  • · Replies 2 ·
Replies
2
Views
2K
A rocket and the Coriolis acceleration
  • · Replies 25 ·
Replies
25
Views
2K
Speed of a proton through potential difference
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad Static potential accelerator question
  • · Replies 3 ·
Replies
3
Views
2K
Classical mechanics problem for a free particle
  • · Replies 2 ·
Replies
2
Views
2K
Using Lorentz Force Equation to find kinetic energy of a particle.
  • · Replies 1 ·
Replies
1
Views
2K
Stability of a White Dwarf Against Gravitational Collapse
  • · Replies 3 ·
Replies
3
Views
2K
Final velocity of proton after being repelled?
  • · Replies 10 ·
Replies
10
Views
3K
Magnetic vector potential of a moving current sheet
  • · Replies 2 ·
Replies
2
Views
3K
Lorentz momentum: A proton of mass m is accelerated up
  • · Replies 1 ·
Replies
1
Views
2K