Potential Energy of two small metal speheres

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SUMMARY

The discussion centers on calculating the electrical potential energy of two small metal spheres, A and B, each with a mass of 6.5 g and 12.7 g respectively, and both carrying a charge of 8 μC. The spheres are connected by a non-conducting string of length 1.4 m. To find the electrical potential energy, apply Coulomb's Law, which quantifies the force between charged objects. Additionally, upon cutting the string, the acceleration of each sphere can be determined using Newton's second law, factoring in their respective masses and the electrostatic force acting on them.

PREREQUISITES
  • Coulomb's Law for calculating electrostatic force
  • Newton's second law of motion for determining acceleration
  • Understanding of electrical potential energy concepts
  • Basic knowledge of mass and charge units (grams and microcoulombs)
NEXT STEPS
  • Calculate electrical potential energy using the formula U = k * (q1 * q2) / r
  • Explore the implications of cutting the string on the motion of charged objects
  • Study the relationship between charge, mass, and acceleration in electrostatic systems
  • Review examples of similar problems involving charged spheres and forces
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding electrostatics and the dynamics of charged particles in a system.

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Homework Statement



Two small metal spheres, A and B, of mass mA = 6.5 g and mB = 12.7 g have equal positive charges of 8 μC. The spheres are connected by a non-conducting string of negligible mass and with length d = 1.4 m, which is much greater than the radii of the spheres.

a) What is the electrical potential energy of the system?

b) Suppose you cut the string. At that instant, what is the acceleration of each sphere?

Homework Equations



Coulomb's Law

The Attempt at a Solution



I can't figure it out
 
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That's not an attempt. Surely you must have done something? Or do you at least have some idea of what concepts might be relevant, and how you might use them?
 

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