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# 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. T

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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 $$\displaystyle\mu_{{k}}$$, the coefficient of kinetic friction between the chair and the waxed floor? Use $$\displaystyle{g}={9.80}\frac{{m}}{{s}^{{2}}}$$ 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 $$\displaystyle\mu_{{k}}$$, 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.

2021-04-15

Mass of the albertine =60kg
Compressed length of the string ($$\displaystyle\triangle{x}$$)=5.0
Acceleration due to gravity $$(g)=9.8m/s^2$$
From the principle of law of conservation of energy,
$$\displaystyle{\frac{{{1}}}{{{2}}}}{k}\triangle{x}^{{2}}=\mu_{{k}}{m}{g}\triangle{s}$$
$$\displaystyle\mu_{{k}}={\frac{{{k}\triangle{x}^{{2}}}}{{{2}{m}{g}\triangle{s}}}}$$
$$\displaystyle={\frac{{{95.0}\ \frac{{N}}{{m}}{\left({5.0}\ {m}\right)}^{{2}}}}{{{2}{\left({60.0}\ {k}{g}\right)}{\left({9.8}\ \frac{{m}}{{s}^{{2}}}\right)}{\left({19.8}\ {m}\right)}}}}$$
$$\displaystyle={0.102}$$