An electron & a proton are each placed in an electric field

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SUMMARY

An electron and a proton are placed in an electric field of 687 N/C, with the task of calculating the electron's velocity 56.5 ns after release. The fundamental charge is 1.602×10-19 C, the mass of a proton is 1.67267×10-27 kg, and the mass of an electron is 9.109×10-31 kg. The correct approach involves using the force equation F=ma and the kinematic equation vf=vi+a*t, resulting in an acceleration of 1.208×1014 m/s2 and a final velocity of 6.83×106 m/s, with the direction of the velocity being negative due to the electron's charge. The proton's role is negligible for this specific calculation.

PREREQUISITES
  • Understanding of electric fields and their effects on charged particles
  • Familiarity with Newton's second law (F=ma)
  • Knowledge of kinematic equations for motion
  • Basic concepts of charge, mass, and their units
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  • Study the effects of electric fields on different charged particles
  • Learn about the relationship between force, mass, and acceleration in various contexts
  • Explore advanced kinematic equations and their applications in physics
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Students studying physics, particularly those focusing on electromagnetism and kinematics, as well as educators seeking to clarify concepts related to electric fields and particle motion.

amyc
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Homework Statement


An electron and a proton are each placed at rest in an electric field of 687 N/C. What is the velocity of the electron 56.5 ns after being released? Consider the direction parallel to the field to be positive. The fundamental charge is 1.602×10−19 C, the mass of a proton is 1.67267×10−27 kg and of an electron 9.109×10−31 kg. Answer in units of m/s.

Homework Equations


F=ma=Eq
vf=vi+a*t

The Attempt at a Solution


I did this using the electric field but I don't know how to incorporate the proton in here and the answer is wrong :(

This is what I got with the electric field:
E=687N/C
t=56.5*10-9s
plug all the values into the force equations
F=(687)(1.602*10-19=(9.109*10-31)a
solve for acceleration and
a=1.208*1014
now to solve for final velocity plug into the kinematics equation
vf=0+(1.208*1014)(56.5*10-9) = 6.83*106 m/s

Please help!
//

update! this was right it just had to be negative lol
 
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The proton doesn't matter (it might become relevant later in the question?).

You should work with units consistently. Apart from that it looks fine.
 

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