Charged particle accelerates in an electric field?

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SUMMARY

The discussion centers on calculating the magnitude and direction of an electric field affecting a positively charged particle that accelerates upward to 200 m/s in 2.60 seconds. The charge-to-mass ratio of the particle is 0.100 C/kg. Initially, the participant calculated the electric field as 769.23 N/C but later corrected this to 867.33 N/C by incorporating gravitational force into the equation. The final electric field direction is confirmed to be upward.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of electric field equations (E=F/q)
  • Familiarity with gravitational force calculations (Fg=mg)
  • Basic concepts of charge-to-mass ratio
NEXT STEPS
  • Study the implications of charge-to-mass ratio in electric fields
  • Learn about the relationship between electric fields and gravitational forces
  • Explore advanced applications of Coulomb's Law in electric field calculations
  • Investigate the effects of varying electric fields on charged particles
USEFUL FOR

Students in physics, educators teaching electromagnetism, and anyone interested in understanding the dynamics of charged particles in electric fields.

MaryCate22
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Homework Statement


A positively charged particle initially at rest on the ground accelerates upward to 200m/s in 2.60s. The particle has a charge-to-mass ratio of 0.100 C/kg and the electric field in this region is constant and uniform.
What are the magnitude and direction of the electric field?

Homework Equations


F=ma
a=delta v/ delta t
Electric Fields E=F/q
Coulomb's Law F=kq/r^2 Not sure I need this one.

The Attempt at a Solution


E=F/q=ma/q=(m/q)a
E=(10 kg/C)(200/2.6 m/s^2) = 769.23 N/C = 7.7*10^2 N/C Direction upward.

Question seems pretty straightforward but it's telling me this answer is incorrect. If I have to incorporate Coulomb's law, I'm not sure how.
 
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Hint: Gravity ;)
 
Arcone said:
Hint: Gravity ;)

Thank you! Knew I was missing something obvious. Let me see if it works if I factor in gravity.
 
ma = Fe - Fg
ma = Eq - mg
a = E(q/m)-g

E = (a + g)/(q/m) = (76.923 + 9.81 m/s^2)/(0.100 C/kg) = 867.33 N/C = 8.7*10^2 N/C

This look right?
 
Yes, that's how i would solve it.
 

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