An object with a mass of # 5 kg# is lying still on a surface and is compressing a horizontal spring by #3/2 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 · 2017-06-01T07:00:34

The coefficient of static friction is #=0.18#

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=3/2m#

Therefore,

#F_r=6*3/2=9N#

The normal force is

#N=mg=5gN#

The coefficient of static friction is

#F_r=(9)/(5g)=0.18#