Question

Assuming that Albertine's mass is 60.0 kg , for what value of μk, the coefficient of kinetic friction between the chair and the waxed floor, does she just reach the glass without knocking it over? Use g = 9.80 m/s2 for the magnitude of the acceleration due to gravity. g

Answer 1

`\mu_k=0.101`

Step-by-step 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,

`(1)/(2)kx^2=\mu_k mgh`

`\mu_k=(kx^2)/(2mgh)`

`\mu_k=(95* (5)^2)/(2* 60* 9.8* 19.8)`

`\mu_k=0.101`

So, the coefficient of kinetic friction between the chair and the waxed floor is 0.101. Hence, this is the required solution.