An object with a mass of # 6 kg# is lying still on a surface and is compressing a horizontal spring by #2/3 m#. If the spring's constant is # 8 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

1 Answer
Dec 24, 2017

Answer:

The coefficient of static friction is #=0.091#

Explanation:

The mass is #m=6kg#

The compression of the spring is #x=2/3m#

The spring constant is #k=8kgs^-2#

The reaction of the spring is #R=kx=8*2/3=16/3=5.33N#

The acceleration due to gravity is #g=9.8ms^-2#

The normal reaction of the object is #N=mg=6*9.8=58.8N#

The coefficient of static friction is

#mu_s=R/N=5.33/58.8=0.091#