Vertical Deflection of Electron: 1.1×107 m/s & 3.2×10-16 N

In summary, an electron with a speed of 1.1 × 107 m/s moves horizontally into a region where a constant vertical force of 3.2 × 10-16 N acts on it. The mass of the electron is 9.11 × 10-31 kg. Using the motion equation for constant acceleration, we can calculate the vertical distance the electron is deflected during the time it has moved 34 mm horizontally. The idea of treating horizontal and vertical motion separately is crucial, as the force only affects the vertical velocity and does not change the horizontal speed. Therefore, the horizontal and vertical motions can be considered independently.
  • #36
That seems correct to me.

We now need to use that time to calculate the vertical distance travelled.
 
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  • #37
Stephen Hodgson said:
That seems correct to me.

We now need to use that time to calculate the vertical distance travelled.
yes just distance now. so Δy = v0t - 1/2 at2 this look like a good formula of motion to use?
 
  • #38
This looks good.

What values of v, a and t are you going to use?
 
  • #39
Stephen Hodgson said:
This looks good.

What values of v, a and t are you going to use?
v0=0, a= 3.5126x1014, and t=3.091x10-9
 
  • #40
Great! v0 should be 0 because in the y direction it is initially at rest :smile:.

You may want to check your equation again though. Are you sure about the - sign?

Let me know what you get as your final answer.
 
  • #41
Stephen Hodgson said:
Great! v0 should be 0 because in the y direction it is initially at rest :smile:.

You may want to check your equation again though. Are you sure about the - sign?

Let me know what you get as your final answer.
542872.33 m that seems huge. yea i rechecked formula thanks its + because v is the unknown not v0
 
  • #42
Stephen Hodgson said:
Great! v0 should be 0 because in the y direction it is initially at rest :smile:.

You may want to check your equation again though. Are you sure about the - sign?

Let me know what you get as your final answer.
542872.33 m seems large
 
  • #43
J-dizzal said:
542872.33 m seems large
forgot to sqare the time one sec
 
  • #44
1.678 m
 
  • #45
Almost. Check your units.
 
  • #46
Stephen Hodgson said:
Almost. Check your units.
1.67810^-3
 
  • #47
lol thanks
 
  • #48
Great! Glad I could help. It seems like you learned a lot doing that question :smile:
 
  • #50
Stephen Hodgson said:
Great! Glad I could help. It seems like you learned a lot doing that question :smile:
yea i learned some fundamental concepts that i know will help on the exam
 
  • #51
main thing being that force changes the velocity of a particles seems so obvious now
 
  • #52
Yeah. The other important thing is to know that you can simply treat the velocities separately. It is often easier to do this than try to work with vectors.
 
  • #53
I just had a look at the circular motion problem. Which part are you having problems with?
 
  • #54
Stephen Hodgson said:
I just had a look at the circular motion problem. Which part are you having problems with?
i can't seem to find any unknowns. i know that 3/4 of the distance of the circle is traveled by the particle in 9.90s-3.30s but when i try to derive an equation for total time(T) i cant. to solve for T i have so far 6.6T = 3pi/2 but plugging that solution into r =vt/2pi its to get the radius its not working
 
  • #55
So is the y co-ordinate obvious from your diagram?

To calculate T, a bit of common sense needs to be used. If 3/4 of the circle is completed in 6.6s, how long does it take to complete a full circle?
 
  • #56
Stephen Hodgson said:
So is the y co-ordinate obvious from your diagram?

To calculate T, a bit of common sense needs to be used. If 3/4 of the circle is completed in 6.6s, how long does it take to complete a full circle?
8.8s would be the whole right?
the y coordinate of?
 
  • #57
Stephen Hodgson said:
So is the y co-ordinate obvious from your diagram?

To calculate T, a bit of common sense needs to be used. If 3/4 of the circle is completed in 6.6s, how long does it take to complete a full circle?
ok 8.8 works, it must of made a mistake in the math last time i tried it.
 
  • #58
So that question is now solved?
 
  • #59
Stephen Hodgson said:
So that question is now solved?
just working on the y coordinate now
 
  • #60
Take a look at your diagram.
 
  • #61
Stephen Hodgson said:
Take a look at your diagram.
how is the y coordinate of center of the circle also 6.8 i don't see it
 
  • #62
J-dizzal said:
how is the y coordinate of center of the circle also 6.8 i don't see it
ok i see it know that i draw it on a proper sized coordinate system
 
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  • #63
where is the centre in relation to ##(5.1, 6.8)##
 
  • #64
Stephen Hodgson said:
where is the centre in relation to ##(5.1, 6.8)##
point 5.10,6.80 is horizontal to the center therefore the same y component. lol
 
  • #65
Cool :D Glad that's settled.
 
  • #66
Stephen Hodgson said:
where is the centre in relation to ##(5.1, 6.8)##
ive spent over 2 days on these questions... they seem so easy now. i don't know if I am cut out for physics
 
  • #67
Stephen Hodgson said:
Gravity will be negligible in this question as m<<1.
Are you implying that the effect (acceleration) of gravity depends on mass?
The real reason it would be negligible is because 9.8<<10^14 (≈F/m)
(But the problem didn't even mention that it was taking place near Earth.)

P.S.
Doesn't it make more sense to discuss the circular motion problem in the circular motion thread?
 
  • #68
Nathanael said:
Are you implying that the effect (acceleration) of gravity depends on mass?
The real reason it would be negligible is because 9.8<<10^14 (≈F/m)
(But the problem didn't even mention that it was taking place near Earth.)

P.S.
Doesn't it make more sense to discuss the circular motion problem in the circular motion thread?
Sorry, yeah, you're right about that. so used to thinking about acceleration of gravity being far less that of electrostatic. Slip of the mind.

Re P.S. probably.
 
  • #69
J-dizzal said:
ive spent over 2 days on these questions... they seem so easy now. i don't know if I am cut out for physics
as long as i remember these
Nathanael said:
Are you implying that the effect (acceleration) of gravity depends on mass?
The real reason it would be negligible is because 9.8<<10^14 (≈F/m)
(But the problem didn't even mention that it was taking place near Earth.)

does'nt the effect of gravity depend on mass a =f/m?

or is this out of the rhealm of Newtons laws?
 
  • #70
But in practice my automatic method of thinking was correct. For a larger mass the weight would be comparable. Looking back, not the best way of explaining why it's negligable. Comparing the forces leads to the same result.
 
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