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# a proton with the mass m is projected into a uniform electric field that points vertically upward and has magnitude e. the initial velocity of the proton has a magnitude v0 and is directed at an angle α below the horizontal.

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## A proton is projected into a uniform electric field that poi

Find step-by-step Physics solutions and your answer to the following textbook question: A proton is projected into a uniform electric field that points vertically upward and has magnitude E. The initial velocity of the proton has a magnitude $v_{0}$ and is directed at an angle $\alpha$ below the horizontal. (a) Find the maximum distance $h_{\max }$ that the proton descends vertically below its initial elevation. Ignore gravitational forces. (b) After what horizontal distance d does the proton return to its original elevation? (c) Sketch the trajectory of the proton. (d) Find the numerical values of $h_{\max }$ and d if $\mathrm{E}=500 \mathrm{N} / \mathrm{C}, \mathrm{v}_{0}=4.00 \times 10^{5} \mathrm{m} / \mathrm{s}$, and $\alpha = 30.0^\circ$..

### Question

A proton is projected into a uniform electric field that points vertically upward and has magnitude E. The initial velocity of the proton has a magnitude

v_{0} v 0 ​

and is directed at an angle

\alpha

α below the horizontal. (a) Find the maximum distance

h_{\max } h max ​

that the proton descends vertically below its initial elevation. Ignore gravitational forces. (b) After what horizontal distance d does the proton return to its original elevation? (c) Sketch the trajectory of the proton. (d) Find the numerical values of

h_{\max } h max ​ and d if

\mathrm{E}=500 \mathrm{N} / \mathrm{C}, \mathrm{v}_{0}=4.00 \times 10^{5} \mathrm{m} / \mathrm{s}

E=500N/C,v 0 ​ =4.00×10 5 m/s, and \alpha = 30.0^\circ α=30.0 ∘ .

### Explanation

Verified

\textbf{\textcolor{#c34632}{Given :}}

Given : E=500\;\mathrm{N/C} E=500N/C

v_{_0}=4.0\times 10^{5}\;\mathrm{m/s}

v 0 ​ ​ =4.0×10 5 m/s

m=1.67\times 10^{-27}\;\mathrm{kg}

m=1.67×10 −27 kg

\alpha=30\text{\textdegree}

α=30°

\textbf{\textcolor{#c34632}{Required :}}

Required :

\textbf{\textcolor{#c34632}{a)}}

a) h_{_{max}} h max ​ ​ .

\textbf{\textcolor{#c34632}{b)}}

b) d d .

\textbf{\textcolor{#c34632}{c)}}

c) trajectory .

\textbf{\textcolor{#c34632}{d)}}

d) Numerical value of

h_{_{max}} h max ​ ​ .

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## Solved A proton with the mass m is projected into a uniform

Answer to Solved A proton with the mass m is projected into a uniform

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## Solved: CP A proton is projected into a uniform electric

CP A proton is projected into a uniform electric field that points vertically upward and has magnitude E. The initial velocity of the proton has a magnitude v0 and is directed at an angle ? below the horizontal. (a) Find the maximum distance hmax that the proton descends vertically below its initial elevation. Ignore

Textbooks / Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 21 / Problem 87P

## Solved: CP A proton is projected into a uniform electric

ISBN: 9780321696861 89

## Solution for problem 87P Chapter 21

Sears and Zemansky's University Physics with Modern Physics | 13th Edition

Get Full Solutions 430 Reviews 21 2 Problem 87P Problem 87P

CP A proton is projected into a uniform electric field that points vertically upward and has magnitude E. The initial velocity of the proton has a magnitude v0 and is directed at an angle α below the horizontal. (a) Find the maximum distance hmax that the proton descends vertically below its initial elevation. Ignore gravitational forces. (b) After what horizontal distance d does the proton return to its original elevation? (c) Sketch the trajectory of the proton. (d) Find the numerical values of hmax and d if E = 500 N/C, v0 = 4.00 X 105 m/s, and α = 30.0o.

Step-by-Step Solution:

Step 1 of 3 Solution 87P = =

The trajectory of proton is a parabola and has been sketched in part (a)

= 2.892m Step 2 of 3

### Chapter 21, Problem 87P is Solved

View Full Solution Step 3 of 3

### ISBN: 9780321696861

Since the solution to 87P from 21 chapter was answered, more than 425 students have viewed the full step-by-step answer. This full solution covers the following key subjects: proton, hmax, vertically, magnitude, distance. This expansive textbook survival guide covers 44 chapters, and 8517 solutions. The answer to “CP A proton is projected into a uniform electric field that points vertically upward and has magnitude E. The initial velocity of the proton has a magnitude v0 and is directed at an angle ? below the horizontal. (a) Find the maximum distance hmax that the proton descends vertically below its initial elevation. Ignore gravitational forces. (b) After what horizontal distance d does the proton return to its original elevation? (c) Sketch the trajectory of the proton. (d) Find the numerical values of hmax and d if E = 500 N/C, v0 = 4.00 X 105 m/s, and ? = 30.0o.” is broken down into a number of easy to follow steps, and 101 words. Sears and Zemansky's University Physics with Modern Physics was written by and is associated to the ISBN: 9780321696861. The full step-by-step solution to problem: 87P from chapter: 21 was answered by , our top Physics solution expert on 09/09/17, 04:08AM. This textbook survival guide was created for the textbook: Sears and Zemansky's University Physics with Modern Physics, edition: 13.

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James 11 month ago

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