An object with a mass of # 3 kg# is lying on a surface and is compressing a horizontal spring by #25 cm#. If the spring's constant is # 9 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2017-07-22T09:51:55

The coefficient of friction is #=0.077#

The coefficient of static friction is

#mu_s=F_r/N#

#F_r=k*x#

The spring constant is #k=9kgs^-2#

The compression is #x=0.25m#

Therefore,

#F_r=9*0.25=2.25N#

The normal force is

#N=mg=3gN#

The coefficient of static friction is

#mu_s=(2.25)/(3g)=0.077#