Solution:
Given data
The mass of sphere A,
The mass of sphere B,
These two spheres are separated by a distance,
Charge on sphere A,
Charge on sphere B,
As the two spheres are having a similar charge (+ve), once the string cut, there will be a repulsive force between them.
First, we calculate this repulsive force as follows
Now, substitute all the known values in this formula
This is the repulsive force acting between the metal spheres A and B. When we cut the string, they start move away from each other due to this repulsive force.
Let us consider the sphere A gained an acceleration
As per Newton's second law we have
where
Now, substitute the known values in the below equation
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