A block is sliding on a level surface of varying materials, and so its effective coefficient of friction is variable, 0.1t, where t is the time in seconds for how long the block has been sliding. If the block was initially moving at 43.5 m/s, then how far does it move in 5.1 s

Explanation:

The physical for the system is based on Work-Energy Theorem and Principle of Energy Conservation. The system decelerates because of friction before coming to rest:

The distance before stopping is isolated from expression presented above:

Where and .

By replacing all variables, the needed distance is finally found:

answer:

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