Electric field and acceleration

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Homework Help Overview

The problem involves calculating the acceleration of a charged particle in an electric field, specifically focusing on a piece of ice in the Earth's atmosphere during a thunderstorm. The electric field strength and the charge of the ice are provided, along with its mass.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the forces acting on the particle, particularly questioning whether all relevant forces, such as gravity, have been considered in the calculations.

Discussion Status

Participants are actively engaging in the discussion, with some suggesting that the original poster may have overlooked the force of gravity. Guidance has been offered regarding the need to consider the directions of the forces involved.

Contextual Notes

The original poster references a discrepancy between their calculated acceleration and a provided answer key, indicating potential confusion regarding the forces at play in the scenario.

ENCgirl
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Homework Statement



During a thunderstorm the electric field at a certain point in the Earth's atmosphere is 1.07e5 N/C, directed upward. Find the acceleration of a small piece of ice of mass 1.09e-4 g, carrying a charge of 1.08e-11 C.




Homework Equations



F= (q')(E)

a= F/mass



The Attempt at a Solution



F= (1.08 e -11 C) ( 1.07 e 5 N/C) = 1.16 e-6 N

a= F/m= (1.16 e -6)/ (1.09 e -7 kg)= 1.06 e-2 m/s^2

The above answer is what I get but the key is saying:

0.802 m/s^2


Please help me figure out what I am doing wrong.
Thank you.

Thanks again to anyone who replies. It is late here so I am signing off.. I will reply tomorrow if anyone has responded.
 
Last edited:
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Have you accounted for all the forces?
 
gneill said:
Have you accounted for all the forces?
I am not sure. I thought so because I followed the example in the book.
 
What other force do you think would be operating on a particle of mass 1.09e-4 grams?
 
gneill said:
What other force do you think would be operating on a particle of mass 1.09e-4 grams?

hmmm. Gravity? :) Wow! I think the lightbulb just came one.. :)
 
gneill said:
What other force do you think would be operating on a particle of mass 1.09e-4 grams?

So, would I take the force that is listed in the problem and add the force of gravity on the object that I solve for then take the cumulative of the two ans use that as the F in the a= F/m formula?
 
ENCgirl said:
So, would I take the force that is listed in the problem and add the force of gravity on the object that I solve for then take the cumulative of the two ans use that as the F in the a= F/m formula?

That's the general idea. Pay attention to the directions of the forces.
 
gneill said:
That's the general idea. Pay attention to the directions of the forces.

Thanks!
 

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