How fast is the smaler sphere moving when they collide?

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SUMMARY

The discussion centers on calculating the velocity of a smaller insulating sphere with a radius of 0.15 cm and mass of 0.15 kg, which is charged at -3 μC, when it collides with a larger sphere of radius 0.69 cm, mass 0.69 kg, and charge 2 μC. The spheres are initially separated by 1.5 m and released from rest. The key concepts involved include electrostatic force, kinetic energy, and potential energy, which are essential for determining the final speed of the smaller sphere upon collision.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Coulomb's law for electrostatic forces
  • Knowledge of kinetic and potential energy equations
  • Basic principles of conservation of energy
NEXT STEPS
  • Calculate the electrostatic force using Coulomb's law
  • Determine the mutual potential energy of the two spheres
  • Apply conservation of energy to find the kinetic energy at collision
  • Use kinematic equations to calculate the final velocity of the smaller sphere
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Students studying physics, particularly those focusing on mechanics and electrostatics, as well as educators looking for examples of collision problems involving charged objects.

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Homework Statement



Two insulating spheres having radii 0.15cm and 0.69 cm, masses 0.15 kg and 0.69 kg, and charges −3 μC and 2 μC are released from rest when their centers are separated by 1.5 m. How fast is the smaller sphere moving when they collide? Answer in units of m/s.


I am completely lost. Somebody please help solve this...
 
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What force acts between the spheres? Are there any external forces? How close can they get to each other? What is their kinetic energy? What is the mutual potential energy of the two balls?

ehild
 

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