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. T

Ernstfalld 2021-04-13 Answered

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

μ_{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

μ_{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.

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lamusesamuset

Answered 2021-04-15 Author has 93 answers

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

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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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