a) The magnitude of the electric force: 
b) String tension: 0.010 N
Clarification:
a)
When a charged rod approaches the ball, it remains suspended at an incline. This allows us to analyze the forces acting in two perpendicular orientations:
- Horizontally, the electric force
acts in one direction, and the tension component in the string opposes it,
denoted by T, which is the angle relative to the vertical
- Vertically, the weight of the ball

acts downward (with

as the ball's mass and

as gravitational acceleration), while the tension component acts upward

Consequently, since the ball is in equilibrium, the following two equations can be established:

Dividing the two equations gives

and solving for the electric force yields

b)
To derive the tension in the string, one can use either of the above equations; for example, the equation for the horizontal component,

Where
is the electric force
is the angle relative to vertical
The tension in the string can be calculated as follows:

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