An object with a mass of # 25 kg# is lying still on a surface and is compressing a horizontal spring by #5/3 m#. 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 · 2017-05-12T08:12:14

The coefficient of static friction is #=0.06#

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=5/3m#

Therefore,

#F_r=9*5/3=15N#

The normal force is

#N=mg=25gN#

The coefficient of static friction is

#F_r=15/(25g)=0.06#