An object with a mass of # 3 kg# is lying still on a surface and is compressing a horizontal spring by #60 c m#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2017-07-12T07:21:37

The coefficient of static friction is #=0.12#

The coefficient of static friction is

#mu_s=F_r/N#

#F_r=k*x#

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

The compression is #x=0.6m#

Therefore,

#F_r=6*0.6=3.6N#

The normal force is

#N=mg=3gN#

The coefficient of static friction is

#mu_s=(3.6)/(3g)=0.12#