Electric field and static equilibrium

AI Thread Summary
To solve the problem of an object in static equilibrium within an electric field, the relationship between electric field (E), charge (Q), and electric force (F) is crucial, expressed as F = Q * E. The object’s mass (m = 5.0g) and charge (Q = 45mC) indicate that the net force acting on it must equal zero for equilibrium. The tension in the string can be determined by analyzing the vertical and horizontal components of the forces acting on the object. The angle of the electric field (30 degrees) should be considered when resolving these forces. Understanding these concepts will lead to finding both the electric field's magnitude and the tension in the string.
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Homework Statement



An object of mass m= 5.0g and charge Q= 45mC is attached to a string and placed in a uniform electric field that is inclined at an angle of 30.0 with the horizontal (see the figure). The object is in static equilibrium when the string is horizontal

Homework Equations



Find the magnitude of the electric field in (N/C) and then find the tension in the string

The Attempt at a Solution


I am not sure how to do this I think you would you the Coulombs equation kQ/r^2 but I do not know how to find r. Also I can not remember how to find tension
 

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You won't need Coulomb's law--that tells you the force between two point charges, which is not what you have here. Instead, what's the most basic relationship between electric field, charge, and electric force?

Also: The fact that the mass is in equilibrium should tell you something about the net force on it. Hint: Consider vertical and horizontal force components.
 
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