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# review_ses_prob - Review Session#2 Sample Problem Ben Wang...

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Review Session #2 Sample Problem Ben Wang and Mark Styczynski Again, please forgive any typos. This is slightly modified from what was presented in the review session so that there would be only one root (I glossed over the fact that the square root implied there were two roots, positive and negative). As a result, things may be off by a factor of m or g here and there, but the important things to take away from this sample problem are what we are asking you to do and how you would go about doing it. We imagine we have a spring, suspended from the ceiling, and at the end of it is attached a block with mass m. This is a special spring, so instead of the normal spring force equation, its force is defined proportional to the cube of its extension. So, the force balance equation that we have is 3 F mg kx fv = Where g is acceleration due to gravity, k is the spring constant, f is the frictional constant, and v is the velocity of the block.

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