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stira [4]
1 year ago
11

If the electron just misses the upper plate as it emerges from the field, find the speed of the electron as it emerges from the

field?.
Physics
1 answer:
Scilla [17]1 year ago
6 0

The speed of the electron as it emerges from the field is; 388.587 m/s

<h3>What is the speed of the electron?</h3>

Initial speed; v₀x = 1.1 * 10⁶ m/s

Acceleration in horizontal direction = 0 m/s²

distance; s_x = 2 cm = 0.02 m

Thus, formula to find time here is;

t = s_x/v₀x

t = 0.02/(1.1 * 10⁶)

t = 1.82 * 10⁻⁶ s

Now for the vertical distance; v,y_o = 0 m/s

Thus, the equation of motion becomes;

s_y = ¹/₂at²

0.005 = ¹/₂a(1.82 * 10⁻⁶)²

Solving for a gives;

a = 3.02 * 10¹³ m/s²

Thus the speed of the electron as it emerges from the field is;

v² = u² + 2as

v = √(0² + 2(3.02 * 10¹³ * 0.005))

v = 388.587 m/s

Read more about Electron speed at; brainly.com/question/15094100

#SPJ1

Complete Question is;

An electron is projected with an initial speed v0 = 1.1 * 10⁶ m/s into the uniform field between the parallel plates. The distance between the plates is 1 cm and the length of the plates is 2 cm. Assume that the field between the plates is uniform and directed vertically downward, and that the field outside the plates is zero. The electron enters the field at a point midway between the plates. E = N/C

find the speed of the electron as it emerges from the field?.

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Answer:

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Explanation:

Now for (a)

time = velocity/distance

for velocity = 79.2 km/h and distance 0.0586 km

t = (0.0586/79.2)*3600

t = 2.66 seconds (Please note that multiplication with 3600 is to convert hours into seconds)

for velocity 47.8 km/h and distance 0.0242 km

t = (0.0242/47.8)*3600

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Now for (b)

2as = vf2-vi2

so,

2a(58.6) = -(79.2*1000/3600)^2 (Please note that multiplication and division with 1000 and 3600 respectively is to convert speed unit from km/h to m/s)

a = -4.13 m/s2 for 58.6 m

and

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The components of vector A are Ax and Ay (both positive), and the angle that it makes with respect to the positive x axis is θ.
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Answer:

a) \theta = tan^{-1} (\frac{11}{11})= tan^{-1} (1)=45 degrees

b) \theta = tan^{-1} (\frac{11}{19})= tan^{-1} (0.579)=30.07 degrees

c) \theta = tan^{-1} (\frac{19}{11})= 59.93 degrees

Explanation:

If we have a vector A= (A_x ,A_y) in a two dimensional space. The angle respect the x axis can be founded from the following expression:

tan (\theta)= \frac{A_y}{A_x}

And then the angle is given by:

\theta = tan^{-1} (\frac{A_y}{A_x})

Part a

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For this case the angle would be:

\theta = tan^{-1} (\frac{11}{11})= tan^{-1} (1)=45 degrees

Part b

Ax = 19 m and Ay = 11 m

For this case the angle would be:

\theta = tan^{-1} (\frac{11}{19})= tan^{-1} (0.579)=30.07 degrees

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For this case the angle would be:

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