Projectile Motion in an Electric Field

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SUMMARY

The discussion focuses on analyzing the motion of an electron in a uniform electric field of 5.00E3 N/C between two charged plates. The first electron, with an initial velocity of 9.07E6 m/s at a 45° angle, strikes the lower plate at a horizontal distance of 0.017 m after calculating the time of flight in both x and y directions. The second electron, with a velocity of 7.28E6 m/s, does not strike the plates, and its vertical position upon exiting the field is calculated to be 0.0135 m. Key equations used include qE=ma and kinematic equations for projectile motion.

PREREQUISITES
  • Understanding of electric fields and forces (qE=ma)
  • Knowledge of kinematic equations for projectile motion
  • Ability to resolve vector components of velocity
  • Familiarity with the behavior of charged particles in electric fields
NEXT STEPS
  • Study the effects of varying electric field strengths on particle trajectories
  • Learn about the motion of charged particles in magnetic fields
  • Explore advanced kinematic equations for two-dimensional motion
  • Investigate the principles of charge interactions in electric fields
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Students studying physics, particularly those focusing on electromagnetism and kinematics, as well as educators looking for practical examples of projectile motion in electric fields.

  • #31
y=(vt(sinθ))−0.5gt^2
y=((5.15E6 m/s)(7.77e-9 s)) - 0.5(8.78E14 m/s^2)(7.77e-9 s)^2
y=0.0135 m

I just checked this, and this is the correct answer (! yay!). Why is the 0.04 not involved in this last step like I thought? Is it because it is involved in the calculation for Tx, which is the time we used for this part?
 
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  • #32
rlc said:
Why is the 0.04 not involved in this last step like I thought? Is it because it is involved in the calculation for Tx, which is the time we used for this part?
Yes.
 
  • #33
Thank you very much for helping me through this problem. I probably wouldn't have found those mistakes if you hadn't pointed them out to me.
 

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