
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 point-like mass moves horizontally between two walls on a frictionless surface with initial kinetic energy  E . With every collision with the walls, the mass loses 1/2 of its kinetic energy to thermal energy. Determine the number of collisions necessary before the speed of the mass is reduced by a factor of 8 .

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