What is the electric charge on the charged polystyrene ball?

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SUMMARY

The discussion centers on calculating the electric charge on a charged polystyrene ball suspended by a nylon thread, with a mass of 0.14g. Initially, the spring extends by 30mm due to gravity, and upon placing the ball in an electric field of strength 200kV/m, the spring extends an additional 6mm. The electric charge can be determined using the equation for electric potential energy change, where the electric force is balanced by the gravitational force acting on the ball.

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  • Familiarity with Hooke's Law and spring constants
  • Basic algebra for solving equations
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Homework Statement


A charged polystyrene ball of mass 0.14g is suspended by a nylon thread from a fine glass spring. In the absence of any electric field the spring extends by 30mm. The polystyrene ball is then placed in an electric field that acts vertically upwards, of strength 200kV m^-1, and the spring extends by a further 6mm. What is the electric charge on the ball.

Homework Equations

The Attempt at a Solution


change in Ep = Eqd, so 200kV = 200000 Nc^-1 so 200000*q(how di I get q) * 30mm??
 
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You need to use the information you are given on how much the spring extends in the absence of an electric field (supposedly by the action of gravity alone). What does this tell you about the spring? How can you use this to determine the electric force on the ball using the other information that you are given?
 

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