Electric field and static equilibrium

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SUMMARY

The discussion focuses on calculating the electric field and tension in a string for an object with mass 5.0g and charge 45mC in static equilibrium within a uniform electric field inclined at 30 degrees. The key relationship to use is the equation for electric force, F = Q * E, where E is the electric field strength. The tension in the string can be determined by analyzing the vertical and horizontal components of the forces acting on the object, ensuring that the net force is zero due to static equilibrium.

PREREQUISITES
  • Understanding of electric fields and forces
  • Knowledge of static equilibrium principles
  • Familiarity with vector components in physics
  • Basic grasp of tension in strings and forces
NEXT STEPS
  • Study the relationship between electric field strength and electric force using F = Q * E
  • Learn how to resolve forces into vertical and horizontal components
  • Explore static equilibrium conditions and their applications in physics
  • Review tension calculations in systems involving angles and forces
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics and mechanics, as well as educators looking for practical examples of static equilibrium in electric fields.

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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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