An object with a mass of #1 kg# is lying still on a surface and is compressing a horizontal spring by #1/3 m#. If the spring's constant is #6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

1 Answer
Mar 10, 2018

Answer:

The coefficient of static friction is #=0.2#

Explanation:

The mass is #m=1kg#

The compression of the spring is #x=1/3m#

The spring constant is #k=6kgs^-2#

The reaction of the spring is #R=kx=6*1/3=2N#

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

The normal reaction of the object is

#N=mg=1*9.8=9.8N#

The coefficient of static friction is

#mu_s=R/N=2/9.8=0.2#