How fast is the smaler sphere moving when they collide?

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To determine the speed of the smaller sphere upon collision, one must analyze the forces acting between the two charged spheres, which include the electrostatic force due to their charges. The absence of external forces allows for the conservation of energy to be applied, equating the initial potential energy to the final kinetic energy at the moment of collision. The mutual potential energy can be calculated using the formula for electrostatic potential energy, while the kinetic energy of the smaller sphere can be derived from the conservation of energy principles. Understanding the distance they can approach each other is crucial for accurate calculations. The solution involves applying these principles to find the final speed in meters per second.
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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?

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