Answer:
[tex]\mu_k=0.101[/tex]
Explanation:
It is given that,
Mass of Albertine, m = 60 kg
It can be assumed, the spring constant of the spring, k = 95 N/m
Compression in the spring, x = 5 m
A glass sits 19.8 m from her outstretched foot, h = 19.8 m
When she just reach the glass without knocking it over, a force of friction will also act on it. Using the conservation of energy for the spring mass system such that,
[tex]\dfrac{1}{2}kx^2=\mu_k mgh[/tex]
[tex]\mu_k=\dfrac{kx^2}{2mgh}[/tex]
[tex]\mu_k=\dfrac{95\times (5)^2}{2\times 60\times 9.8\times 19.8}[/tex]
[tex]\mu_k=0.101[/tex]
So, the coefficient of kinetic friction between the chair and the waxed floor is 0.101. Hence, this is the required solution.
