Ernstfalld

2021-04-13

As depicted in the applet, Albertine finds herself in a very odd contraption. She sits in a reclining chair, in front of a large, compressed spring. The spring is compressed 5.00 m from its equilibrium position, and a glass sits 19.8m from her outstretched foot.
a)Assuming that Albertine's mass is 60.0kg , what is ${\mu }_{k}$, the coefficient of kinetic friction between the chair and the waxed floor? Use $g=9.80\frac{m}{{s}^{2}}$ for the magnitude of the acceleration due to gravity. Assume that the value of k found in Part A has three significant figures.Note that if you did not assume that k has three significant figures, it would be impossible to get three significant figures for ${\mu }_{k}$, since the length scale along the bottom of the applet does not allow you to measure distances to that accuracy with different values of k.

lamusesamuset

Mass of the albertine =60kg
Compressed length of the string ($\mathrm{△}x$)=5.0
Acceleration due to gravity $\left(g\right)=9.8m/{s}^{2}$
From the principle of law of conservation of energy,
$\frac{1}{2}k\mathrm{△}{x}^{2}={\mu }_{k}mg\mathrm{△}s$
${\mu }_{k}=\frac{k\mathrm{△}{x}^{2}}{2mg\mathrm{△}s}$

$=0.102$

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