Electron Motion in Charged Plate Region: Time, Distance, and Velocity Components

  • Thread starter Thread starter mssnamu
  • Start date Start date
  • Tags Tags
    Mechanics Vectors
AI Thread Summary
An electron with an initial horizontal velocity of 3.16 × 10^9 cm/s enters a region between charged plates, traveling a horizontal distance of 2.42 cm while experiencing a downward acceleration of 2.73 × 10^17 cm/s². The equation s = ut + 0.5at² is used to find the time required for the electron to travel this distance, yielding a time of approximately 7.42 seconds. The discussion highlights confusion regarding the combination of horizontal and vertical motion in calculations. Participants suggest separating the equations for horizontal and vertical components to solve for the vertical distance and velocity components. Clarifying these calculations is essential for completing the problem accurately.
mssnamu
Messages
1
Reaction score
0

Homework Statement


An electron, with an initial horizontal velocity of magnitude 3.16 × 109 cm/s, travels into the region between two horizontal metal plates that are electrically charged. In that region, it travels a horizontal distance of 2.42 cm and has a constant downward acceleration of magnitude 2.73 × 1017 cm/s2 due to the charged plates. Find (a) the time required by the electron to travel the 2.42 cm and (b) the vertical distance it travels during that time. Also find the magnitudes of the (c) horizontal and (d) vertical velocity components of the electron as it emerges.

Homework Equations


s = ut +0.5at^2

The Attempt at a Solution


s = ut + 0.5at^2
2.42 = 3.16x10^9t +1.365x10^17t^2
t = 7.42

I'm not sure whether what i did was correct and also don't know how to do parts b, c and d.
 
Physics news on Phys.org
You have combined the two different directions for some reason into the same equation. Try to separate the equation for the two directions.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

How to calculate vertical electron deflection between two charged plates?
Replies
1
Views
3K
Velocity of an Electron between Two Plate
Replies
3
Views
7K
Finding the angle of an electron striking a plate
Replies
3
Views
2K
An electron is fired at 4.0x10^6 m/s horizontally....
Replies
7
Views
3K
Calculating the charge to mass ratio
Replies
12
Views
16K
Motion of Charged Particles in Electric Fields
Replies
3
Views
3K
Electron being shot between two plates
Replies
3
Views
4K
Electron accelerated between plates
Replies
1
Views
5K
Projectile Motion in an Electric Field
Replies
32
Views
7K
An electron is then shot between the plates
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top