Calculate Speed of Proton in Electric Field

In summary, the conversation is about finding the speed of a proton after it has moved a distance of 1.0 mm in a uniform electric field with a magnitude of 2.8 103 N/C. The strategy discussed involves using the charge of the proton and the strength of the electric field to determine the force on the proton, and then using that force and the mass of the proton to calculate its acceleration. The final speed can then be determined using the acceleration and the time it takes the proton to move 1 mm. There is also a discussion about a possible error in the calculations.
  • #1
kpangrace
17
0
Speed of a proton?

i just don't know where to start with this? do i have to go back to basic physics??

i tried using the charge of the single proton to find the force of the electric field, and then with that force find an acceleration maybe? I am way confused


A uniform electric field has a magnitude of 2.8 103 N/C. In a vacuum, a proton begins with a speed of 2.1 104 m/s and moves in the direction of this field. Find the speed of the proton after it has moved a distance of 1.0 mm.



your help would be greatly appreciated!
 
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  • #2
kpangrace said:
i just don't know where to start with this? do i have to go back to basic physics??

i tried using the charge of the single proton to find the force of the electric field, and then with that force find an acceleration maybe? I am way confused


A uniform electric field has a magnitude of 2.8 103 N/C. In a vacuum, a proton begins with a speed of 2.1 104 m/s and moves in the direction of this field. Find the speed of the proton after it has moved a distance of 1.0 mm.



your help would be greatly appreciated!

What you say sounds good to me! You know the strength of the field and you know the charge of the proton. Their product is the force on the proton and, since F= ma, that force divided by the mass of the proton is the acceleration. Now use d= (1/2)at2+ vt= 1 mm to determine the time it takes the proton to move 1 mm. Once you know that, the final speed is at+ 2.1 x104.
 
  • #3
hmmm i went through and did everything you said and i got 3.881 e10... which seemed way off and it was...

there was something i obviously did wrong, what was it?

and thank you for your help
 
  • #4
kpangrace said:
there was something i obviously did wrong, what was it?

Maybe you put a decimal point in the wrong place in line 5? Maybe you multiplied instead of divided in line 7? It's kind of difficult for people here to tell you what you did wrong if you don't show us what you actually did, numbers and all.
 

FAQ: Calculate Speed of Proton in Electric Field

How do you calculate the speed of a proton in an electric field?

To calculate the speed of a proton in an electric field, you can use the equation v = sqrt(2qE/m), where v is the speed of the proton, q is the charge of the proton, E is the strength of the electric field, and m is the mass of the proton.

What is the unit for the speed of a proton in an electric field?

The unit for the speed of a proton in an electric field is meters per second (m/s). This is a standard unit for measuring velocity.

Can the speed of a proton in an electric field be negative?

No, the speed of a proton in an electric field cannot be negative. The speed of an object is always a positive value.

How does the strength of the electric field affect the speed of a proton?

The strength of the electric field directly affects the speed of a proton. A stronger electric field will result in a higher speed, while a weaker electric field will result in a lower speed.

Is the speed of a proton in an electric field affected by its mass?

Yes, the speed of a proton in an electric field is affected by its mass. The larger the mass of the proton, the slower it will travel in the electric field. This is because the mass is in the denominator of the equation for calculating speed, so a larger mass will result in a smaller speed.

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