The electric force and the gravitational force.

AI Thread Summary
To balance the weight of a 2.5g plastic sphere charged to -2.9nC, the strength of the electric field must counteract the gravitational force acting on the sphere. The relevant equations include F = ma for force and acceleration, and F = qE for the electric force. Since the sphere is in equilibrium, the net force is zero, meaning the electric force must equal the gravitational force. The discussion emphasizes the need to identify the forces acting on the sphere to solve for the electric field strength. Understanding these relationships is crucial for calculating the required electric field.
TKstreaker13
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What is the strength of an electric field that will balance the weight of a 2.5g plastic sphere that has been charged to -2.9nC ?

I know that F= ma and that E= Kq/r^2 and also that F= Kq1q2/(r^2). I just don't know how to relate an electric field equation using only mass and a charge?
 
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TKstreaker13 said:
I know that F= ma
OK. What would 'a' be in this case?
and that E= Kq/r^2 and also that F= Kq1q2/(r^2).
Those are expressions for the field from a point charge and the force between two point charges. You won't need them here. Hint: If the field is E, and the change is q, what's the electric force on the charge?

I just don't know how to relate an electric field equation using only mass and a charge?
What forces act on the plastic sphere? What's the net force?
 
a= acceleration

and i will need the F=qE equation

if the sphere is being balanced then the net force will be zero?
 
TKstreaker13 said:
a= acceleration
I meant, what would be the value of the acceleration in this case.

and i will need the F=qE equation
Right. That's the one you need.

if the sphere is being balanced then the net force will be zero?
Exactly. What two forces act on the sphere?
 
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