
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A uniformly charged sphere with radius \( R \) is fixed on a horizontal surface at point \( A \). The charge of the sphere is \( Q \). At point \( C \), which is at a distance \( L \) from the surface of the sphere, a charged smaller sphere with radius \( r \) and mass \( m \) is hovering. Its charge is \( q \). It is known that \( r \ll R \). Determine the acceleration of the small sphere immediately after part of the material is removed from point \( B \). It is known that \( A B = S \). The removed material is a small sphere with radius \( r \). Points \( A, B \), \( C, O \) are located on the same vertical line. The acceleration due to gravity is \( g \).

Present the answer in LaTex format: \boxed{Your answer}
user