An object with a mass of $14 kg$ is lying still on a surface and is compressing a horizontal spring by $70 c m$ . If the spring's constant is $2 (kg)/s^2$ , what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2018-02-19T10:40:48

The coefficient of static friction is $=0.01$

The mass is $m=14kg$

The compression of the spring is $x=0.7m$

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

The reaction of the spring is $R=kx=2*0.7=1.4N$

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

The normal reaction of the object is

$N=mg=14*9.8=137.2N$

The coefficient of static friction is

$mu_s=R/N=1.4/137.2=0.01$

An object with a mass of 14 kg 14 kg is lying still on a surface and is compressing a horizontal spring by 70 c m70 c m. If the spring's constant is 2 (kg)/s^2 2 (kg)/s^2, what is the minimum value of the surface's coefficient of static friction?