The following system is created to measure the coefficient of kinetic friction o

Question

The following system is created to measure the coefficient of kinetic friction of a given surface material. A 15 kg block is pressed against a spring with spring coefficient of 1250N/m and an initial compression of 35.0 cm. (Figure 1) In this example, the block will rest against spring #1 initially and is then released. Spring #1 will decompress and shoot the block across the frictional section to spring #2 which temporarily compresses and then decompresses. The block then returns across the frictional section a second time and finally compresses spring #1 again.

If the block compresses spring #1 only 26.0cm on the return trip, find the coefficient of kinetic friction for the 1.00 meter section of material. Spring #2 is just there to change the direction of the block at the other end and does no net work.

Explanation / Answer

Work Done by friction = Change in Energy of System

uk * m * g* d = 1/2*k*x12 - 1/2*k*x22

uk*15*9.8*2 = 0.5*1250*.35*.35 - 0.5*1250*0.26*0.26

uk = 0.1167

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