Speed of Electron Released from Rest in Weak Electric Field

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SUMMARY

An electron released from rest in a weak electric field of E = -3.00 x 10-10 N/C experiences both electric and gravitational forces. The net force acting on the electron can be calculated using F = qE - mg, where q is the charge of the electron, E is the electric field strength, m is the mass of the electron, and g is the acceleration due to gravity. After traveling a vertical distance of 1.4 µm, the speed of the electron can be determined using the work-energy principle, specifically the equation Work done = F*d = 1/2*m*v2.

PREREQUISITES
  • Understanding of electric fields and forces (E = F/q)
  • Knowledge of gravitational force (F = mg)
  • Familiarity with the work-energy principle
  • Basic kinematics and equations of motion
NEXT STEPS
  • Calculate the net force on an electron in an electric field using F = qE - mg
  • Explore the work-energy theorem and its applications in particle motion
  • Learn about the effects of electric fields on charged particles
  • Investigate the relationship between distance traveled and speed in electric fields
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of charged particles in electric fields.

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Homework Statement



An electron is released from rest in a weak electric field given by vector E = -3.00 10-10 N/C jhatbold. After the electron has traveled a vertical distance of 1.4 µm, what is its speed? (Do not neglect the gravitational force on the electron.)

Homework Equations





The Attempt at a Solution



We haven't been taught this, so any help on how to do it would be wonderful.
 
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What is the net force acting on the electron in the electric field?
Work done = F*d = 1/2*m*v^2.
From this find v.
 

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