Initial acceleration of a charged particle

AI Thread Summary
The discussion focuses on calculating the initial acceleration of a charged particle, specifically sphere 2, which is influenced by the electrostatic force exerted by sphere 1. The charges of the spheres are given as q1 = 7.68 µC and q2 = 5.74 µC, with respective masses of 10.5 g and 15.2 g. The electrostatic force between the spheres is calculated using Coulomb's law, resulting in a force of approximately 0.100 N. This force leads to an acceleration of about 11.48 m/s² for sphere 2, confirming the calculations after addressing an initial error. The final answer for the initial acceleration of sphere 2 is thus established.
hudsonale10
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Homework Statement


If sphere 2 were free to move its initial acceleration would be ___m/s^2


Homework Equations


Two small spheres carrying charges q1 = 7.68 µC and q2 = 5.74 µC are separated by 19.9 cm. The mass of sphere 1 is 10.5 g and the mass of sphere 2 is 15.2 g.


The Attempt at a Solution


Not sure how to start this one? I know the acceleration would be due to gravity but...
 
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hudsonale10 said:
I know the acceleration would be due to gravity but...
I would not assume that.

What electrostatic force do the two spheres exert on each other?
 
Calculate Electrostatic force(F) b/w the two spheres. Since only spher 2 is free to move. the acc is F/m(of sphere 2)
 
About .100 N

(9.0 x 10^9)((7.68 x 10^-6)(5.74 x 10-6))/(19.9)^2
 
(19.9* 10^-2)^2 as 19.9 is in cm
 
ans is 11.48 m/s^2
 
Wow thank you for catching that simple error, and thanks for all the help
 
check whether the answer is correct and Your welcome:)
 
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