A student doing part A of the experiment drew a graph of their data. The slope o

Question

A student doing part A of the experiment drew a graph of their data. The slope of the graph was found to be (6.5 ± 0.1) m-1/2. The student measured the mass of the block to be m = (100 ± 5) g and the value of the spring constant k was given by the lab demonstrator as 25 Nm-1. Using g = 9.8 ms-2 as the acceleration due to gravity, the student calculated the coefficient of kinetic friction µk to be 0.302. Determine the error in µk

Express your answer to one significant figure. Include units if applicable.

Explanation / Answer

kx=mg

25(6.5 ± 0.1) =(100 ± 5) *9.8

==>25(6.5 ± 0.1)*2/((100 ± 5)* *9.8) =

==>=2.551(6.5 ± 0.1)*2/(100 ± 5)

==>=2.551*2*(6.5 - 0.1)/(100 + 5)

==>=0.3108

error=± 0.3108-0.302 =±0.106=±0.11

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