How Do You Calculate the Mass of a Particle in an Electric Field?

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SUMMARY

The mass of a particle with a charge of -6C suspended in an electric field of E=(0,0,-15)N/C can be calculated using the relationship between electric force and gravitational force. The electric force (F) acting on the particle is given by F = qE, where q is the charge. Since the particle is stationary, the electric force equals the gravitational force (mg), leading to the equation -6C * (-15 N/C) = mg. This results in a mass of 0.9 kg for the particle.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with Newton's laws of motion
  • Knowledge of basic algebra for solving equations
  • Concept of gravitational force (mg)
NEXT STEPS
  • Study the relationship between electric force and charge using Coulomb's Law
  • Learn about the principles of static equilibrium in physics
  • Explore the concept of electric fields and their effects on charged particles
  • Investigate the calculation of mass using force equations in different contexts
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Physics students, educators, and anyone interested in understanding the dynamics of charged particles in electric fields.

krony23
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1. Homework Statement
In a laboratory, a particle of charge -6C is held stationary because it is placed in an electric field E=(0,0,-15)N/C which suspends it against gravity. What is the mass of the particle? Give answer in kg.

2. Homework Equations
I THINK
E= F/q
F= ma or F= G m1 m2 / r^2


3. The Attempt at a Solution
Ok, so I haven't actually had a chance to attempt this yet because A) I don't understand the notation of E in this equation, so I don't know if it is acceptable to just use -15 for E, and B) if I even have the right equations to use, I don't know what the acceleration is or how to use the second equation. Please help
 
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The problem states "... which suspends it against gravity." This mens that the particle is not moving. What is its acceleration then? How many forces act on the particle, in what directions do they point and how are their magnitudes related?

Note: Use mg for the force of gravity.
 

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