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## Homework Statement

A piece of butter is sliding down a warm roof. It is known, that on contact, the friction decreases to one tenth per 5 seconds. Not taking into count the fact that the mass reduces due to melting, how can you create the equation for the changing friction, that takes into account both that it is dependent on both time and place?

## Homework Equations

The time-depended part could be thought of as µ0exp( − t/ T), where T=5/log(10).