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 $3 (kg)/s^2$ , what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2017-12-02T07:02:08

The coefficient of static friction is $=0.1$

The force of friction is

$F_r=k*Deltax$

The spring constant is $k=3kgs^-2$

The compression of the spring is $Deltax=1/3m$

Therefore,

$F_r=3*1/3=1N$

The coefficient of static friction is

$mu_s=F_r/N$

The normal force is $N=mg=(1g) N$

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

So,

The coefficient of static friction is

$mu_s=(1)/(1g)=0.1$

An object with a mass of 1 kg1 kg is lying still on a surface and is compressing a horizontal spring by 1/3 m1/3 m. If the spring's constant is 3 (kg)/s^23 (kg)/s^2, what is the minimum value of the surface's coefficient of static friction?