Mass of a particle traveling in a circular path

Click For Summary
SUMMARY

The mass of a particle traveling in a circular path with a kinetic energy of 3.2 x 10^-19 J, a charge of 1.6 x 10^-19 C, and a radius of 10 cm in a 0.200 T magnetic field can be calculated using the equations of motion in magnetic fields. The relationship mv = qBr leads to the expression for mass as m = (qBr)/v. By substituting the kinetic energy equation ke = 1/2 mv^2, the mass can be isolated and calculated definitively.

PREREQUISITES
  • Understanding of kinetic energy equations (ke = 1/2 mv^2)
  • Familiarity with magnetic force equations (mv^2/r = qvB)
  • Basic knowledge of circular motion in physics
  • Proficiency in algebraic manipulation of equations
NEXT STEPS
  • Study the derivation of the kinetic energy equation in relation to circular motion.
  • Learn about the Lorentz force and its application in charged particle motion.
  • Explore the concept of magnetic fields and their effects on charged particles.
  • Investigate advanced topics in electromagnetism, particularly in particle dynamics.
USEFUL FOR

Students in physics, particularly those studying electromagnetism and mechanics, as well as educators looking for practical examples of particle motion in magnetic fields.

taylor.simon
Messages
7
Reaction score
0
1. Homework Statement
what is the mass of a particle which travels in a circular path with a kinetic energy of 3.2 x 10 ^-19 J moving perpendicular to a 0.200t magnetic field if it has a charge of 1.6 x10 ^-19 C and the path radius is 10 cm


2. Homework Equations
ke= 1/2 mv^2

mv^2/r = qvB

r = mv^2/qvB = mv/qB

mv = qBr



3. The Attempt at a Solution


mv =qbr
mv = 1.6 x10 ^-19 C x 0.200 T x 0.1 M
mv = 3.2x 10 ^-21

i can't figure out how to separate the mass and velocity using ke=1/2mv^2
any help is much appreciated
 
Physics news on Phys.org
mv = sqrt(2*m*ke)

Find m.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
3
Views
2K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 1 ·
Replies
1
Views
8K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 17 ·
Replies
17
Views
5K